Probability Questions and Answers

A recent poll found that 87 of all registered voters in Okeechobee County support a certain candidate for the school board Determine the probability that all people out of a random sample of 14 people support this candidate for the school board Use the Binomial probability formula or the binomial probability table if possible to solve O 0 8773 0 8263

Sophomore Senior Sociology 234 239 Chemistry 126 147 The probability that a randomly selected student is a Sophomore is 0 36595 0 51743 O 0 48257 0 63405 The probability that a randomly selected student is a Chemistry major is O 0 48257 O 0 51743 00 36595 0 63405 The probability that a randomly selected student is a Sophomore or Chemistry major is O 0 8311 00 67962 0 68633 0 80295

A recent study found that 42 of all Americans support stricter environmental regulations Let x be the number of Americans who support stricter environmental regulations out of a random sample of 37 Americans Note this is a binomial experiment The mean of the probability distribution of x is O 12 45 021 46 O 15 54 03 The standard deviation of the probability distribution of x is O 15 54 0 3 09 01 O 0 85

The total number of possible outcomes for 2 rolls of a twelve sided die is 1728 24 144

If P A B P A then the events A and B are O dependent events O complementary events O mutually exclusive events O independent events

A college has an admissions acceptance rate of 40 Determine the probability that at most 3 applicants out of a random sample of 5 applicants are accepted into this college Use the Binomial probability formula or the binomial probability table if possible to solve 0 6827 O 0 913 00 7711

The probability that a randomly selected student at a college is female is 0 43 The probability that a student at that same college is a chemistry major and a female is 0 11 Determine the probability that a randomly selected student at a this college is a chemistry major given she is female O 0 041 O 0 035 O 0 256 0 936

Calculating Net Worth LC The assets and liabilities of a veterinarian are listed below Home Value Mortgage Credit Card Balance Car Value Investments Owned Work Equipment 98 820 Office Equipment Loan 490 986 O 34 417 89 100 O 44 186 6 691 44 186 34 417 What is the value of the veterinarian s liquid assets 214 744

Consider a binomial probability distribution with n 15 and p 0 95 The graph of the distribution is O skewed to the left dependent symmetric O skewed to the right

Question 4 Multiple Choice Worth 1 points Federal Income Taxes and Piecewise Functions MC Use the marginal tax rate chart to answer the question Marginal Tax Rate Chart Tax Bracket 0 10 275 10 276 41 175 12 Marginal Tax Rate 41 176 89 075 22 10 89 076 170 050 24 170 051 215 950 32 539 901 215 951 539 900 35 10 05 16 27 Determine the effective tax rate for a taxable income of 75 400 Round the final answer to the nearest hundredth 37

uestio tion 8 Multiple Choice Worth 1 points Federal Income Taxes and Piecewise Functions LC x Determine f 5 for f x 2x 9 5x 4 O 11 029 041 x 3 3 x 4 x24

Question 4 Multiple Choice Warth 3 points Federal Income Taxes and Piecewise Functions MC Use the marginal tax rate chart to answer the question Marginal Tax Rate Chart Tax Bracket 0 10 275 10 276 41 175 12 Marginal Tax Rate 41 176 89 075 22 10 89 076 170 050 24 170 051 215 950 32 539 901 215 951 539 900 35 O 10 O 14 67 Determine the effective tax rate for a taxable income of 63 425 Round the final answer to the neares 37

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Zach scores a ringer 40 of the time that he throws a horseshoe Let R be the number of throws it takes Zach to score his first ringer in a game Assume the results of each throw are independent Find the probability that it takes Zach 2 or fewer throws to score his first ringer You may round your answer to the nearest hundredth P R2

7 In a senior class 4 member commit with no restrictions

8 a There are 5 white marbles 4 How many ways can you sele

406 5 AU B Shade the indicated region f

There are 92 students in a business class The instruct A

The following data describes percentage of satisfied customers at Burger B 90 5 94 8 93 9 94 1 80 3 85 3 88 5 7 Determine the frequency of each class in the table shown Answer P Cu C 770

Round to three significant figures 44 32432 rounds to

ine data below shows the grams of fat in a series of popular snacks Snack Snack 1 Snack 2 Snack 3 Snack 4 Snack 5 Snack 6 Snack 7 Snack 8 Snack 9 Snack 10 Grams of Fat 9 13 21 30 31 31 34 25 28 20

Color of Car Frequency Black Blue Green Red White Total 15 8 6 24 60 Construct a pie chart using createAgraph and no other method use this URL your browser https nces ed gov nceskids createAgraph to help Roger make decision Save your graph as either Word or PDF and submit to the BUSA 2000 1 Part 2 folder in the Assignments tab on D2L Then answer the following ques and put your answer in the box provided below If Roger is planning to order a total of 175 new cars then based on the informat

Sherlock and Mycroft each have a complete deck of cards Each man picks one card at random from his deck Each man has probabilities corresponding to his deck The two cards chosen are independent of each other which means that both events together have probabilities that multiply If Sherlock and Mycroft each pick one card at random from their decks what is the probability that both Sherlock gets a heart and Mycroft gets a heart

Assume that 12 jurors are randomly selected from a population in which 71 of the people are Refer to the probability distribution table below and find the indicated Mexican Americans probabilities I P 2 0 0 0 1 2 0 0001 3 0 0011 4 0 0063 5 0 0246 6 0 0704 7 0 1477 8 0 2261 9 0 246 10 0 1807 11 0 0804 12 0 0164 Find the probability of exactly 8 Mexican Americans among 12 jurors P z 8 Find the probability of 8 or fewer Mexican Americans among 12 jurors P x 8 Assume that any probability less than 5 is convincing enough evidence to suspect discrimination Does 8 Mexican Americans among 12 jurors suggest that the selection process discriminates against Mexican Americans Oyes

Probability Scores 1 2 5 9 0 5 0 05 0 1 0 05 0 15 0 15 12 13 Find the expected value of the abou

The Wilson family was one of the first to come to the U S They had 4 children Assuming that the probability of a child being a girl is 5 find the probability that the Wilson family had at least 3 girls at most 3 girls

A high school baseball player has a 0 318 batting average In one game he gets 9 at bats What is the probability he will get at least 3 hits in the game

X P x 0 0 15 0 25 0 3 0 3 1 2 3 Find the mean of this probability distribution Round your answer to one deci

Using the Binomial distribution If n 9 and p 0 3 find P x 4

Exercise 3 3 points A fair die is tossed five times Let A be the event that 4 comes up at least once and let B be the event that the outcome 2 occurs exactly 3 times a Compute P A and P B b Compute P AUB

s 9 10 Two binomial experiments are listed Decide whether you can use the normal distribution to approximate X the number of people who reply yes If so find the mean and standard deviation If not explain why 9 75 of Americans say they always fly an American flag on the 4th of July You randomly select 30 Americans and ask each if he she always flies an Amarican flag on the 4th of July What is the probability that 25 or more will indicate they fly the American flag on the 4th of July

Out of 400 students sampled 300 of them said that they hoped to have children someday With 95 confidence what is the approximate percentage of the students in the population who hope to have children someday A 70 7 to 79 3 B 68 5 to 81 5 C 66 3 to 83 7 D 72 8 to 77 2

f X is a uniform random variable on interval a b i e X is continuou with density Find EX and E X as fot 1 f x b 0 9 0 2 if x a if a x b if x b

23 7 Movie companies need to predict the gross receipts of individual movies once the movie has debu ovies are shown in the table Complete parts a through c below Click the icon to view the table for the first weekend gross the U S gross and the worldwide Construct a scatter plot with first weekend gross on the X axis and U S gross on the Y axis Ch OB DA U S Gross 350 300 250 200 50 75 100 125 Question 1 2 5 50 Part 1 of 3 First Weekend Q Q U S Gross A 125 100 75 50 200 250 300 35 First Weekend

st Final Exam Study Guide ion list tion 1 ion 2 on 3 on 4 K The accompanying table contains the service ratings of 14 different In Click the icon to view the data table Type an integer or a decimal Round to three decimal places as need Since the p value is greater than the value of a do not reject Ho b What assumption is necessary about the population distribution in OA It must be assumed that the distribution of the differences bet OB It must be assumed that the distribution of the differences bet OC It must be assumed that the distribution of the differences bet OD No assumptions are necessary raphical mothed to evaluate the validity of the assumption

Statistics SP1 2023 xam Study Guide K 10 The accompanying table contains the service ratings of 14 different Internet and Click the icon to view the data table Boxplot H Difference 10 Questior 10 Does the assumption needed in order to conduct the t test in a appear to be val O A No the boxplot is approximately symmetric OB Yes the boxplot is approximately symmetric OC Yes the boxplot indicates skewness

A business magazine was conducting a study number of days they spent traveling each ye

Given a standard bridge card deck 52 cards calculate the probability that a card chosen at random is an ace

What college football conference has the right to brag about putting players in down by conference First Roun Football Confere SEC Big Ten Pac 12 ACC Big 12 Independen

It is no secret that Wall Street firms compete aggressively to lure their clients Having more high end clients translat survey of 150 high end clients asked what lured them to their respective Wall Street firm The following table shows High End Client Response Answer Perk Received Pay a Kick Back Lucrative Golf Outings Lavish Dinners Free Private Jet Use Prime Seats at Sports Events Other No Perk Received Copy Data Step 1 of 3 Which type of perk appears to be most successful in luring clients O Pay a Kick Back Lavish Dinners O Free Private Jet Use Client Respons 26 14 23 17 33 13 24

the accompanying 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 34 minutes Assume that a simple random mple has been selected Use a 0 10 significance level Compare the sample mean to the claimed mean of 34 minutes Is the difference between those two values tistically significant Click the icon to view the Los Angeles commute times

At a certain gas station 40 of the customers use regular gas A 35 use plus gas A and 25 use premium A3 Of those customers using regular gas only 20 fill their tanks event B Of their tanks those customers using plus 40 fill their tanks whereas of those using premium 30 Consider the following information on credit card usage 90 of all regular fill up customers use a credit card 70 of all regular non fill up customers use a credit card 80 of all plus fill up customers use a credit card 70 of all plus non fill up customers use a credit card 70 of all premium fill up customers use a credit card 60 of all premium non fill up customers use a credit card Compute the probability of each of the following events for the next customer a plus and fill up and credit card b premium and non fill up and credit card c premium and credit card d fill up and credit card e credit card arrive a tree diagram might help ability that premium was requested Round your answer to four decimal places

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors The study found a confidence interval for the mean score to be between 458 and 496 What is the margin of error on the survey Do not write on the margin of error

The population of a particular country consists of three ethnic groups Each individual belongs to one of the four major blood groups The accompanying joint probability table gives the proportions individuals in the various ethnic group blood group combinations Ethnic Group P C P An C 1 2 3 O 0 082 0 141 0 215 Suppose that an individual is randomly selected from the population and define events by A type A selected B type B selected and C ethnic group 3 selected a Calculate P A P C and P A n C Enter your answers to three decimal places P A COODO Blood Group AB A B 0 100 0 013 0 004 0 141 0 018 0 001 0 210 0 055 0 020 b Calculate both P AIC and P CIA Round your answers to three decimal places P AIC P CIA Explain in context what each of these probabilities represents Select all that apply If a person has type A blood the probability that he is from ethnic group 3 is given by P CIA If a person has type B tod the probability that he is from ethnic group 3 is given by P AIC If we know that the individual came from ethnic group 3 the probability that he has type A blood is given by P AIC If a person has type A blood the probability that he is from ethnic group 3 is given by P AIC If we know that the individual came from ethnic group 3 the probability that he has type A blood is given by P CIA If a person has type B blood the probability that he is from ethnic group 3 is given by P CIA ndividual does not have type B blood what is the probability that he or she is from ethnic group 1 Round your answer to three decimal places

60 10 D Note Figure not drawn to scale In ABDC above what is the length of DC A 3 B 5 C 5 3 D 8

Computer keyboard failures can be attributed to electrical defects or mechanical defects A repair facility currently has 25 failed keyboards 6 of which have electrical defects and 19 of which have mechanical defects a How many ways are there to randomly select 5 of these keyboards for a thorough inspection without regard to order ways b In how many ways can a sample of 5 keyboards be selected so that exactly two have an electrical defect ways c If a sample of 5 keyboards is randomly selected what the probability that at least 4 of these will have a mechanical defect Round your answer to four decimal places

A certain shop repairs both audio and video components Let A denote the event that the next component brought in for repair is an audio component and let B be the event that the next component is a compact disc player so the event 8 is contained in A Suppose that P A 0 7 and P B 0 08 What is P B A Round your answer o four decimal places

The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk Small Medium Large Regular 10 24 18 Decaf 24 12 12 Consider randomly selecting such a coffee purchaser a What is the probability that the individual purchased a small cup Enter your answer to two decimal places What is the probability that the individual purchased a cup of decaf coffee Enter your answer to two decimal places b If we learn that the selected individual purchased a small cup what now is the probability that he she chose decaf coffee Round your answer to three decimal places How would you interpret this probability This is the probability of people who choose a Select cup given that they chose a Select E cup of coffee c If we learn that the selected individual purchased decaf what now is the probability that a small size was selected Enter your answer to one decimal place How does this compare to the corresponding unconditional probability of a This probability is Select the unconditional probability of selecting a small size

A jar contains 44 red marbles numbered 1 to 44 and 38 blue marbles numbered 1 to 38 A marble is drawn at random from the jar Find the probability of the given event Round solutions to three decimal places if necessary a The marble is red P red b The marble is odd numbered P odd c The marble is red or odd numbered P red or odd d The marble is blue or even numbered P blue or even