Statistics Questions

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

Two cards are selected from a standard deck of 52 playing cards The first card is not replaced before the second card is selected Find the probability of selecting a six and then selecting an ei The probability of selecting a six and then selecting an eight is Round to three decimal places as needed

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

A family is going to give out candy at Halloween They have a bucket filled with the following candy 8 Snickers 10 Milky Ways 12 Reeses 8 Kit Kats 12 Hersheys If three children come to th house for candy find the probability of the family giving out the following candy without replacement a all 3 are Reeses Round answer to 3 decimal places b the first is a Milky Way the second is a Hershey the third is a Snickers Round answer to 3 decimal places c None of the three kids gets a Milky Way Round answer to 3 decimal places

TechWiz Entertainment sells four types of products CDs radios video games and DVDs The numbers sold for 2021 and 2022 are shown in the double bar graph below Use this graph to answer the questions Number sold 1200 1000 800 600 400 200 0 CDs Radios Video games DVDs Product a Estimate the number of DVDs sold in 2021 DVDS CDs 2021 b Which products sold more in 2022 than in 2021 Check all that apply O video games c Estimate the total number of radios sold in the two years radios radios 2022 DVDs R M

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

16 13 Send d Find the stan If necessary 0

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

An internet research company surveyed 90 online shoppers each of whom made one purchase today The company recorded the type of purchase each shopper made Here is a summary Type of purchase Pet supplies Beauty supplies Electronics Clothing Number of shoppers 25 20 21 24 Three shoppers from the survey are selected at random one at a time without replacement What is the probability that the first two shoppers purchased beauty supplies and the third purchased electronics Do not round your intermediate computations Round your final answer to three decimal places 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

Petroleum pollution in oceans s randomly chosen specimens of 62 43 67 51 55 40 Send data to calculator

A private college advertised that last year their freshman students to the mean which of the following claims must be true based on th Note More than one statement could be true If none of the statem 0 0 0 Last year the number of their freshman students who had score of 1100 or below on the exam was equal to the number of their freshman students who had a score of 110 or above on the exam Next year at least one of their freshman students will have score of at least 1100 on the exam Last year all of their freshman students had a score of 110 or above on the exam Last year some of their freshman students had a score of exactly 1100 on the exam Last year at least one of their freshman students had a o than 1000 on the exam

For each variable determine wh a The time for a participa green letters on a compute b In a reaction time study time is between 400 and 6 c The number of damage

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 Hearts A 20 3 10 Red Diamonds A 2 Black Spades A Black Clubs 3 10 Jack Queen King K K K Suppose a card is drawn at random from a standard deck The card is then shuffled back in the deck Then for a second time a card is drawn at random from the deck What is the probability of first drawing a two and then a red card Do not round your intermediate computations Round your final answer to four decimal places If necessary consult a list of formulas

Adults who are being tested for dementia are animals listed in one minute by 8 adults 12 18 11 10 21 14 20 13 Send data to calculator

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

Here is a table showing all 52 cards in a standard deck Face cards Color Red Red Diamonds A Spades A Black Suit Ace Two Three Four Five Six Seven Eight Nine Hearts A Black Clubs Ten Jack Queen King 10 10 A card is drawn at random from a standard deck That card is not put back in the deck and a second card is drawn at random from the remaining cards in the deck Neither of the cards drawn so far are put back in the deck and a third card is drawn at random from the remaining cards in the deck What is the probability that all three of the cards are aces Do not round your intermediate computations Round your final answer to four decimal places If necessary consult a list of formulas

Can a normal approximation be used for a s Answer

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 A K Red Diamonds A Black Spades A Black Clubs K K K A card is drawn at random from a standard deck That card is not put back in the deck and a second card is drawn at random from the remaining cards in the deck What is the probability that the first card drawn is a heart and the second card drawn is black Do not round your intermediate computations Round your final answer to four decimal places If necessary consult a list of formulas

Here is a table showing all 52 cards in a standard deck Face cards Color Red Red Diamonds A 2 3 Black Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Hearts A 10 K Black Spades A Clubs 10 K K A card is drawn at random from a standard deck That card is not put back in the deck and a second card is drawn at random from the remaining cards in the deck Neither of the cards drawn so far are put back in the deck and a third card is drawn at random from the remaining cards in the deck What is the probability that the first card drawn is a spade the second card drawn is a heart and the third card drawn is a heart Do not round your intermediate computations Round your final answer to four decimal places If necessary consult a list of formulas

A private college advertised that last year their freshman students on a to the mean which of the following claims must be true based on this in Note More than one statement could be true If none of the statement A Last year all of their freshman students had a score of at least 1140 on the exam Last year some of their freshman students had a score of exactly 1140 on the exam Last year fewer than half of their freshman students had a score of 1140 or below on the exam Next year at least one of their freshman students will have a

b The distances between the cities are given below le cost The team travels by bus so lowest mileage should result in lowest cost nes with the Atlanta Boston and Home Atlanta Boston Columbia Home 533 795 789 Atlanta 533 1028 1137 Boston Columbia 795 1028 Draw a weighted graph that corresponds to this situation 243 789 1137 243 Devise a way that the team can visit all 3 cities and return home that has the lowest mileage Give the weight of the circuit What is the difference between an Euler Circuit and a Hamiltonian Circuit Use complete sentences in your

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

Section 3 1 20 Find the mean median and mode for the following data set 83 98 22 89 98 x 83 98 22 89 99 98 mean 489 6 mean 81 5 median 99 median 93 5 22 83 89 98 98 9 term 9 1 th 3th 4 0 2 4th 89 98 2 9

According to the National Institutes of Health 61 of adults experience some form of lactose intolerance Determine the probability that less than 66 of adults in a sample of 788 experience some form of lactose intolerance O 0 9203 O 0 002 O 0 998 0 7204

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

For a continuous random variable X the population mean and standard deviation are 98 and 15 respectively A sample of 54 observations is randomly selected The mean of the sampling distribution of a is 98 02 04 0 0 98 015

The time spent commuting from home to work for all employees at a very large company has a normal distribution with a mean of 154 minutes and a standard deviation of 10 minutes Determine the probability that the mean time spent commuting by a random sample of 77 employees is between 151 33 minutes and 157 43 minutes O0 5234 O 0 3202 0 0096 0 9891

For the standard normal distribution the area to the right of z 3 02 i O 0 9554 O 0 0057 00 9987 O 0 0013

For the standard normal distribution the area beween z 2 44 and z 1 88 is O 0 9699 0 9626 O 0 0021 0 0102

Suppose a population distribution has a meal of 75 5 and a a random sample of 150 observations from this population has a mean of 73 1 The sampling error of is 3 8 17 3 1 8 O 2 4

The Graduate Management Admission Test GMAT scores of all examinees who took the test this year produced a normal distribution with a mean of 581 and a standard deviation of 22 Determine the percentage of all scores between 513 and 582 O62 43 O 51 81 0 0 1 O51 71

Determine the two values of z such that the middle 70 of the data lie between the two z values Oz 0 5 and 2 0 5 Oz 1 17 and z 1 17 Oz 1 04 and z 1 04 Oz 0 13 and z 0 13

The distribution of all SAT scores is normally distributed with a mean of 1174 and a standard deviation of 51 If a sample of 51 SAT scores is randomly chosen determine the probability that the sample average is less than 1181 0 8365 O 0 1635 O 0 8797 O 0 3958

For a continuous random variable X the population mean and standard deviation are 121 and 14 respectively A sample of 79 observations is randomly selected The standard deviation of the sampling distribution of is 0 14 O 1 58 O 121 03 17

The daily sales at a convenience store produce a normal distribution with a mean of 1 953 and a stand deviation of 113 Determine the probability that the sales on a given day at this store are more than 2 198 O 0 0151 0 8504 0 9849 00 3829

For the standard normal distribution the area beween z 2 75 and z 0 is O 0 9573 00 497 O 0 5 0 0003

Determine the value of z such that the area between 0 and z is 0 2852 and z is negative Oz 0 79 Oz 0 86 Oz 2 21 Oz 0 74

At a large university 11 of all students live on campus Suppose a random sample of 277 students selected from this university and the sample proportion is defined as the proportion of students in sample who live on campus Determine the mean of the sampling distribution of p 00 25 00 89 O 0 65 O 0 11

Let X be a normally distributed random variable Consider the sampling distribution of Find the z value for when 234 o 33 22 and n 47 O 1 45 O 0 21 O 0 21 O1 45

Determine the value of z such that the area to the left of z is 0 5714 Oz 0 58 Oz 0 53 Oz 0 61 0z 0 18

For the standard normal distribution the area beween z 0 and z 1 5 is O 0 9332 00 9996 O 0 9995 O 0 4332

A recent study found that 18 of all adult males did not visit their physicians offices last year Determine the probability that more than 10 of adult males in a sample of 297 did not visit their physicians offices last year 0 7733 O 0 9998 O 0 0002 00 2745

For the standard normal distribution the area to the left of z 1 36 is 0 0008 0 0869 O 0 9131 0 0078