Probability Questions and Answers

5 Let P E 0 25 P F 0 6 and P EUF 0 7 a What is P En Fy b Are event E and event F mutually exclusive Justify your answer c Are event B and event F independent Justify your answer

For a standard normal distribution find P Z 2 94

A particular fruit s weights are normally distributed with a mean of 408 grams and a standard deviation of 19 grams If you pick one fruit at random what is the probability that it will weigh between 419 grams and 460 grams

Intervals F Question 31 6 3 A Why is it necessary to check that np 5 an

dule 5 fidence ewo K Question 22 6 2 3 Part 1 of 3 Use the standard normal distribution or th mean Justify your decision If neither dist

tervals Question 2 6 1 Which statistic is the best unbiased estimato The best unbiased estimated for u is th

1 A sample of 200 persons is asked about their handedness A two way table of observed counts follows Men Women Left handed 11 9 Right handed 79 101 When a person is randomly selected let M W L and R represent the following events M the selected person is a man W the selected person is a woman L the selected person is left handed R the selected person is right handed Find each of the following probabilities a P W b P R c P MOR d P WUL c P MIL 1 P R W g If two persons are randomly selected with replacement what is the probability that the first selected person is a left handed men and the second selected person is a right handed men b If two persons are randomly selected without replacement what is the probability that the first selected person is a left handed men and the second selected person is a right handed men 1 If two persons are randomly selected with replacement what is the probability that the first selected is a left handed women and the second selected person is also a left handed women If two persons are randomly selected without replacement what is the probability that the first selected is a left handed women and the second selected person is also a left handed women

WLD Incorporated a national data collection agency estimates that 45 of all customers at home warehouse stores in the United States own their own home WLD also estimates that 32 of all home warehouse customers have lived at their current address for less than five years and that 66 of all home warehouse customers own their own home or have lived at their current address for less than five years or both Using these estimates what is the probability that a randomly selected home warehouse customer both owns her own home and has lived at her current address for less than five years Write your answer as a decimal not as a percentage If necessary consult a list of formulas

C Exercise 7 10A Algo Accounting for uncollectible accounts percent of revenue allowance versus dire write off method LO 7 1 7 4 Joey s Bike Shop sells new and used bicycle parts Although a majority of its sales are cash sales It makes a significant amount of credit sales During Year 1 Its first year of operations Joey s Bike Shop experienced the following Sales on account Cash sales Collections of accounts receivable Uncollectible accounts charged off during the year SHARE Required a Assume that Joey s Bike Shop uses the allowance method of accounting for uncollectible accounts and estimates that 1 percent of Its sales on account will not be collected Answer the following questions 1 What is the Accounts Receivable balance at December 31 Year 1 2 What is the ending balance of the Allowance for Doubtful Accounts at December 31 Year 1 after all entries and adjusting entries are posted 3 What is the amount of uncollectible accounts expense for Year 1 4 What is the net realizable value of accounts receivable at December 31 Year 1 b Assume that Joey s Bike Shop uses the direct write off method of accounting for uncollectible accounts Answer the following questions 1 What is the Accounts Receivable balance at December 31 Year 1 2 What is the amount of uncollectible accounts expense for Year 1 3 What is the net realizable value of accounts receivable at December 31 Year 1 Complete this question by entering your answers in the tabs below Required A Required B 260 700 616 200 247 665 1 068 Assume that Joey s Bike Shop uses the allowance method of accounting for uncollectible accounts and estimates that 1 percent of its sales on account will not be collected Answer the following questions 1 What is the Accounts Receivable balance at December 31 Year 17 2 What is the ending balance of the Allowance for Doubtful Accounts at December 31 Year 1 after all entries and adjusting entries are posted 3 What is the amount of uncollectible accounts expense for Year 17 4 What is the net realizable value of accounts receivable at December 31 Year 17 1 Accounts receivable Show less A

2 2 points 00 42 46 Skipped eBook GOD Hint 0 Files Grover Incorporated uses the allowance method to account for uncolle following four accounting events in Year 1 1 Recognized 74 000 of revenue on account 2 Collected 68 000 cash from accounts receivable 3 Wrote off uncollectible accounts of 800 4 Recognized uncollectible accounts expense Grover estimated account Required a Show the effect of each event on the elements of the financial stat for decrease and blank for not affected In the Statement of Cas OA Investing activity IA financing activity FA or not affected t b Record the previous transactions in general Journal form Complete this question by entering your answers in the tabs Required A Required B

K Here are summary statistics for randomly selected weights

Find the indicated limit Note that L H pital s rule may not apply or may require more than one application 2x 3x X 8 5x3 7 lim Select the correct choice below and if necessary fill in the answer box to complete your choice 2x 3x A lim 5x 7 X 8 Type an exact answer in simplified form B The limit does not exist

1 2 3 4 Determine whether the given values can be looked upon as the values of a probability distribution of a random variable that can take on the values 1 2 3 4 and 5 Answer yes or no If no explain why not a f 1 0 18 f 2 0 20 f 3 0 22 f 4 0 23 f 5 0 18 The number of monthly breakdowns of a computer is a random variable with an average of 1 6 breakdowns per month Find the probability that this computer will function for a month with only 1 breakdown If 20 percent of the mice used in an experiment will become very aggressive after having been administered an experimental drug find the probability that exactly 2 of 6 mice which have been administered the drug become very aggressive A customs inspector decides to inspect two of 12 shipments that arrive from

Find the critical value Za 2 that corresponds to the confidence level 87 Za12 Rou to tuo docimal plagor ne pooded

picks lottery numbers On each trial the machine outputs a ball with one of the digits o through 9 on it The ball is then replaced in the machine The lottery board tested the machine for 500 trials and got the following results 232 Outcome 0 1 n Number of Trials 53 47 52 4 5 6 45 49 50 52 0 b Assuming that the machine is fair compute the theoretical probability of getting a 4 7 0 c Assuming that the machine is fair choose the statement below that is true 56 45 Answer the following Round your answers to the nearest thousandths a From these results compute the experimental probability of getting a 4 The larger the number of trials the greater the likelihood that the experimental probability will be close to the theoretical probability 8 The experimental probability will never be very close to the theoretical probability no matter the number of trials The smaller the number of trials the greater the likelihood that the experimental probability will be close to the theoretical probability 9 51 X

A spinner with s equally sized slices has 3 yellow slices 1 red slice and 1 blue slice Amanda spun the dial 200 times and got the following results Outcome Yellow 0 Number of Spins 117 0 b Assuming that the spinner is fair compute the theoretical probability of landing on red Red c Assuming that the spinner is fair choose the statement below that is true Answer the following Round your answers to the nearest thousandths a From Amanda s results compute the experimental probability of landing on red 43 The smaller the number of spins the greater the likelihood that the experimental probability will be close to the theoretical probability The experimental probability will never be very close to the theoretical probability no matter the number of spins Blue The larger the number of spins the greater the likelihood that the experimental probability will be close to the theoretical probability 40 X

Charmaine is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6 The number cube is fair so a side is rolled at random This game is this Charmaine rolls the number cube once She wins 1 if ai is rolled 2 if a 2 is rolled 3 if a 3 is rolled and 4 if a 4 is rolled She loses 2 75 if a 5 or 6 is rolled If necessary consult a list of formulas a Find the expected value of playing the game dollars b What can Charmaine expect in the long run after playing the game many times O Charmaine can expect to gain money She can expect to win dollars per roll O Charmaine can expect to She can expect to lose lose money dollars per roll O Charmaine can expect to break even neither gain nor lose money

ability Qu ead reach distances of adult femal probability that an individual dista probability that the mean for 15 ra

l Probability Qu The lengths of human pregnancies are normal regnancy lasts at least 300 days

Normal Probability Qu Fill in the blank The standard deviation of the distribution of The standard deviation of the distribution of s

ability Question 40 pirical rule to solve the problem c blood pressure of 18 year old women is normally old women have a systolic blood pressure that lies

Probability Ques ch of the following is NOT a conclusion of th ose the correct answer below A The mean of all sample means is the po

il new bout 80 of all female heart transpla the probability that the sample prop distrib TL

Normal Homew The weights of people in a certain standard error of the mean for this

the area of the indicated region under the standard n 1 13 O 0 1292 0 1504 0 0212 0 8489 2 03

0 45 0 A 0 3438 B 0 6562 C 1 3090 D 0 3090 2 11

standard Water use in the summer is normally distributed with a mean of 300 million gallons per day and a deviation of 42 2 million gallons per day City reservoirs have a combined storage capacity of 350 million gallons What amount of water use is exceeded with 99 probability Please report your answer in 2 decimal places

Q2 Eren Jeager lost his job and became a stock trader He expected the returns of his stocks AMC Entertainment Marathon Petroleum AMC and MP in the following three possible states of the economy pr State Bull Normal Bear Probability 0 35 0 21 AMC 30 16 13 MPC 18 15 3 1 What is the probability of having a norml economy in Eren s mind Lan 2 Calculate the expected return for AMC entertainment and Marathon Petroleum J aft ooff code

3 Compute the probability requested Give exact answer do not round Giving a test to a group of students the grades and gender are summarized below A B 15 14 Male Female 10 C 12 4 18 30 Total 25 18 Total 41 32 73 If one student was chosen at random determine the probabilities Write your answers as fractions a P student was female 3 b P student was male and got an A c P student got a B given the student was female d P student earned a B or a C 3 3 3

You must show work to receive credit Give exact values when possible If rounding is necessary round to the hundredth 1 In a class of 25 kindergarteners 15 have dogs 12 have cats and 7 have both 5 pts each a Construct an appropriate Venn Diagram in the box at right 5 pts each b How many students have neither a cat nor a dog c What is the probability a student has a dog given they have a cat D d What is the probability that the student chosen at random has at least one pet

9 The PTO is selling raffle tickets to raise money for classroom supplies A raffle ticket costs 10 There i winning ticket out of the 200 tickets sold The winner gets a prize worth 75 Round your answers to the NEAREST CENT a What is the expected value to you of one raffle ticket b Calculate the expected value to you if you purchase 8 raffle tickets c What is the expected value to the PTO of one raffle ticket 2 2 2 d If the PTO sells all 200 raffle tickets how much money can they expect to raise for the

5 Give the value requested in each of the following a The probability of passing this class is 83 Give the odds of passing the class Solution 5 pts b The odds of rain is 8 3 What is the probability it won t rain Solution 5 pts

A house security system has a 6 digit access code How many possible codes are there if a digits can be repeated Solution 5 pts b digits cannot be repeated Solution 5 pts

4 A club has 15 members a How many ways can a three person committee be selected from this club 5 pts Solution 5 pts b How many ways can a president vice president and treasurer be selected from this club Solution 5 pts

Twelve of the 200 digital video recorders DVRS in an inventory are known to be defective What is the probability you randomly select a DVR that is not defective The probability is Type an integer or a decimal Do not round CLIXS

A coin is tossed and a six sided die numbered 1 through 6 is rolled Find the probability of tossing a head and then rolling a number greater than 2 The probability of tossing a head and then rolling a number greater than 2 is Round to three decimal places as needed

You are dealt two cards successively without replacement from a standard deck of 52 playing cards Find the probability that the first card is a two and the second card is a ten Round your answe three decimal places OA 0 994 OB 0 500 C 0 250 D 0 006

A club with 55 college students is doing volunteer work this semester Each student is volunteering at one of four locations Here is a summary Location Tutoring center Hospital Nursing home Soup kitchen Number of students 9 18 15 13 Three students from the club are selected at random one at a time without replacement What is the probability that the first student volunteers at the soup kitchen and the other two do not Do not round your intermediate computations Round your final answer to three decimal es If necessary consult a list of formulas

K The accompanying table describes results from groups of 10 b variable x represents the number of girts among 10 children US in 10 births is a significantly low number of girls Click the icon to view the table Use the range rule of thumb to identify a range of values that The maximum value in this range is Round to one d cimal place as needed girls The minimum value in this range is Round to one decimal place as needed Based on the result is 1 girl in 10 births a significantly low A Yes 1 girl is a significantly low number of girls be girls

news organization surveyed 70 adults Each sala ne or she gets news from only one source Here is a summary of their sources of news Source of news Number of adults 22 12 13 23 Television Newspaper Radio Internet Three of the adults from the survey are selected at random one at a time without replacement What is the probability that none of the three adults get news from the newspaper Do not round your intermediate computations Round your final answer to three decimal places If necessary consult a list of formulas

its values numerical variable what are its ding numbers DO 3 0 375 0 375 Choose the correct answer below OA The random variable is x which is the number of girls in three births The possible values of x are 0 1 2 a 3 The values of the random value x are not numerical B The random variable is P x which is the probability of a number of girls in three births The possible va of P x are 0 125 and 0 375 The values of the random value P x are not numerical The random variable is P x which is the probability of a number of girls in three births The possible of P x are 0 125 and 0 375 The values of the random value P x are numerical D The random variable is x which is the number of girls in three births The possible values of x are 3 The values of the random value x are numerical

Here is a table showing all 52 cards in a standard deck Face cards Color Red Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Hearts Red Diamonds A 2 Black Spades A Black Clubs A 10 Q K K 8880 What is the probability of first drawing a nine then a face card and then a diamond V Suppose a card is drawn at random from a standard deck The card is then shuffled back into the deck Then for a second time a card is drawn at random from the deck The card is then shuffled back into the deck Finally for a third time a card is drawn at random from the deck Do not round your intermediate computations Round your final answer to four decimal places If necessary consult a list of formulas

The weights of all newborn babies are normally distributed with a mean of 8 pounds and a standard deviation of 3 4 pounds Determine the sample size required to produce a standard deviation of equal to 0 33 0 112 O 124 O 111 O 107

For the standard normal distribution the area within 3 standard deviations of the mean is 0 9544 00 6826 O 0 9974 0 05

For the standard normal distribution the area to the left of 7 07 is 0 9544 O 0 5 00

Cruising the Mall A pollster walks around a busy mall and approaches people passing by to ask them how often they shop at the mall

26 Cruising the mall A pollster walks around a busy shopping mall and approaches people passing by to ask them how often they shop at the mall

32 Raffle Five hundred people attend a charity event and each buys a raffle ticket The 50 ticket stubs are put in a drum and thoroughly mixed and 10 of them are drawn The 10 people whose tickets are drawn win a prize

Suppose that the random variable x shown below represents the number times P x represents the probability of a randomly selected person having received that number of speeding tickets during that period Use the probability distribution table shown below to answer the following questions 1 P x x 0 1 2 3 4 5 6 0 4295 0 1934 0 1816 0 1346 0 0342 0 0267 0 0000 a What is the probability that a randomly selected person has received one tickets in a three year period P x 1 b What is the probability that a randomly selected person has received two tickets in a three year period P x 2 c What is the probability that that a randomly selected person has received more than four tickets in a three year period P x 4 d What is the probability that that a randomly selected person has received three or less tickets in a three year period P x 3

4 Marcus wants to prove that vanilla ice cream is the best and so polls 100 of his fellow students as to their favorite flavor His results are as follows 15 strawberry 18 vanilla 9 mint chocolate chip 22 moosetracks 7 butter pecan 1 superman 20 chocolat and 8 cookies cream Should he use a histogram or bar graph to display his data Create an appropriate graph chart