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Question : Prepare a probability distribution for the experiment : 2151702

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

**Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.**

1) Three coins are tossed, and the number of tails is noted.

A)

B)

C)

D)

2) Three cards are drawn from a deck. The number of kings is counted.

A)

B)

C)

D)

3) Two balls are drawn from a bag in which there are 4 red balls and 2 blue balls. The number of blue balls is counted.

A)

B)

C)

D)

4) Four cards are drawn from a deck. The number of red tens is counted.

A)

B)

C)

D)

5) A ball player batting .300 comes to bat 3 times in a game. The number of hits is counted.

A)

B)

C)

D)

6) Four coins are tossed and the number of heads is counted.

A)

B)

C)

D)

7) Three balls are drawn from a bag containing 5 red and 3 green balls. The number of green balls is counted.

A)

B)

C)

D)

8) Five cards are drawn from a deck. The number of tens is counted.

A)

B)

C)

D)

9) A field goal kicker has a kicking average of .75 and he tries 3 field goals in a game. The number of field goals is counted.

A)

B)

C)

D)

**Give the probability distribution and sketch the histogram.**

10) A class of 44 students took a 10-point quiz. The frequency of scores is given in the table.

A)

B)

C)

D)

11) At a safety program for hunters, each member of a class of 25 took 5 shots at a target. The number of bullseyes is shown in the table.

A)

B)

C)

D)

12) The telephone company kept track of the calls for the correct time during a 24-hour period for two weeks. The results are shown in the table.

A)

B)

C)

D)

13) At a supermarket during the 6 p.m. rush, the manager counted the number of customers waiting in each of the 12 checkout lines. The results are shown in the table.

A)

B)

C)

D)

14) Five rats are inoculated against a disease. After an incubation period, the number contracting the disease is noted. The experiment is repeated 20 times, with the results shown in the table.

A)

B)

C)

D)

**Find the expected value for the random variable.**

15)

A) 3.5

B) 4.5

C) 3.7

D) 3.1

16)

A) 7.66

B) 7.94

C) 9

D) 7.54

17)

A) 6.03

B) 7.32

C) 8.82

D) 8.7

18)

A) 20.82

B) 28.28

C) 28

D) 30.44

19) A business bureau gets complaints as shown in the following table. Find the expected number of complaints per day.

A) 2.98

B) 2.85

C) 2.73

D) 3.01

20) For a certain animal species, the probability that a female will have a certain number of offspring in a given year is given in the table below. Find the expected number of offspring per year.

A) 1.58

B) 1.75

C) 1.38

D) 2

21) A business bureau gets complaints as shown in the following table. Find the expected number of complaints per day.

A) 2.98

B) 2.85

C) 2.73

D) 3.01

**Find the expected value for the random variable x having this probability function.**

22)

A) 2

B) 2.3

C) 3

D) 2.5

23)

A) 18.4

B) 15.4

C) 15

D) 16.9

24)

A) 3.6

B) 2.8

C) 3.4

D) 4

25)

A) 9

B) 10

C) 11

D) 10.5