I need ASAP In the document, there are 20 multiple choice questions from Probability & Statistics. I just need the answers, no work at all. Thank you.

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QUESTION 1

1. Which variable is discrete?

number of runners in race

length of race in kilometers

time to finish a race

temperature at start of race

5 points

1.

QUESTION 2

Which best describes the distribution of the data in the line plot?

skewed right

bell-shaped

uniform

skewed left

5 points

QUESTION 3

1.

The frequency histogram shows the lengths of trails in a large park.

How many trails are less than 6 kilometers long or at least 24 kilometers long?

13

16

8

9

5 points

1.

QUESTION 4

A camping leader bought the items listed in the table for his team.

What is the average cost of an item in his purchase?

$6.25

$5.58

$5.75

$6.95

5 points

1.

QUESTION 5

Which is the approximate standard deviation of the data set?

{5, 12, 15, 10, 12, 6, 8, 8}

4.8

3.4

5.0

3.9

5 points

QUESTION 6

1. An art gallery has 12 vases. How many ways can 5 of the vases be arranged in the display

window?

95,040

2520

792

665,280

5 points

1.

QUESTION 7

The table shows the different types of shoes available at a family shoe store.

What is the probability that a randomly chosen women’s shoe is a casual shoe?

about 48.6%

about 24.8%

about 32.9%

about 51.5%

5 points

1.

QUESTION 8

Fifty balls are numbered 1â??50 and a red dot is painted on those balls that are a multiple of 7. The balls are

mixed into a bag and one ball is randomly chosen. What is the probability that the ball is numbered with a

multiple of 5 or has a red dot?

5 points

QUESTION 9

1. A bowl has 9 green grapes and 13 red grapes. Henry randomly chooses a grape, eats it, and

then chooses another grape. What is the probability that both grapes are green?

about 15.6%

about 16.7%

about 14.9%

about 17.5%

5 points

1.

QUESTION 10

Determine the expected value of X.

4.8

5.45

4.6

5.95

5 points

QUESTION 11

1. Scores on a standardized test are normally distributed with a mean of 258 and a standard

deviation of 24. Students who score at least 2.3 standard deviations above the mean receive

a certificate. What is the minimum score required to receive the certificate?

285.0

313.2

306.0

282.7

5 points

QUESTION 12

1. The weights of books on a library shelf are normally distributed with a mean of 3.1 pounds

and a standard deviation of 0.8 pound. Approximately what percent of the books weigh

more than 3.5 pounds?

12%

23%

19%

31%

5 points

1.

QUESTION 13

Mrs. Fuller determines which four members of a population, labeled 01â??48, will be in a sample by starting at

line 147. Which members are in the sample?

20, 01, 12, 45

01, 12, 45, 18

11, 24, 01, 12

01, 24, 12, 33

5 points

1.

QUESTION 14

Jackie received 72% of the votes in an election. In a random sample of 40 eligible voters, 32 said they voted

for Jackie.

5 points

QUESTION 15

1. Study results indicate that the mean time to download a certain program to a personal

computer is between 35.4 and 42.6 seconds. What is the study’s margin of error?

3.6 s

7.2 s

5.2 s

2.6 s

5 points

QUESTION 16

1. If movie theater tickets in a region have a mean cost of $8.32 and a standard deviation of

$0.76, what is the approximate standard deviation of the sampling distribution of the mean

for samples of size 30?

$0.14

$0.09

$0.28

$0.03

5 points

QUESTION 17

1. In a random sample of 40 people who rode a roller coaster one day, the mean wait time is

52.4 minutes with a standard deviation of 9.5 minutes. In a random sample of 50 people

who rode a Ferris wheel the same day, the mean wait time is 14.1 minutes with a standard

deviation of 2.3 minutes. Construct a 99% confidence interval for the difference between

the mean wait times of everyone who rode both rides.

(35.8, 40.8)

(36.8, 39.8)

(34.3, 42.3)

(36.9, 40.7)

5 points

QUESTION 18

1. In a simple random sample of 80 patients who saw a certain dentist, 9 patients had their

teeth whitened. What is the 95% confidence interval for the percent of all the dentist’s

patients who had their teeth whitened?

(4.4, 18.2)

(8.4, 14.2)

(7.8, 14.8)

(5.5, 17.1)

5 points

1.

QUESTION 19

Which phrase is the best description of the association between variables X and Y?

strong negative association

moderate negative association

strong positive association

moderate positive association

5 points

1.

QUESTION 20

Which is the best estimate of the residual when x = 3?

â??0.5

2.5

0.5

â??2.5

5 points

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