1, Complete parts(a) and(b) below.

The number of dogs per household in a small town

Dogs

0

1

2

3

4

5

Probability

0.631

0.228

0.092

0.026

0.015

0.008

(a) Find themean, variance, and standard deviation of the probability distribution.

Find the mean of the probability distribution.

=

2, 36%adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is(a) exactlythree, (b) at leastfour, (c) less than eight.

(a)

P(3)=

(Round to three decimal places asneeded.)

3, 30% of consumers prefer to purchase electronics online. You randomly select

8

consumers. Find the probability that the number of consumers who prefer to purchase electronics online is(a) exactlyfive, (b) more thanfive, and(c) at most five.

(a) Find the probability that the number that prefer to purchase electronics online is exactly five.

P(5)=

(Round to three decimal places asneeded.)

4, Cards are drawn with replacement from a standard deck until a king is drawn. Does this constitute a binomialexperiment? Why or whynot?

Choose the correct answer below.

A.

No, because there are more than two outcomes each time a card is drawn.

B.

No, because the probability of getting a king will change from one trial to the next.

C.

No, because there is not a fixed number of trials.

D.

Yes, because there are three independent draws. For each draw there are two outcomes(king and notking) and a constant probability of getting a king.

5, A game of chance is played on a wheel that contains 32 numbers (15) arered, 15 areblack, and 2 aregreen). When the wheel isspun, the ball is equally likely to land on any of the 32 numbers. Suppose that you bet $7 on red. If the ball lands on a red number, you win $7; otherwise you lose your $7.

Let X be the amount you win on your

$7

bet. Then X is the random variable whose probability distribution is as follows.

x

7

7

P(X=x)

0.469

0.531

Use this to complete parts(a) through(d) to the right.

a. Find the expected value of the random variable X.

The expected value is

.

(Round to three decimal places asneeded.)

6, Find the indicated area under the standard normal curve.

To the left of

z=1.11

Click here to view page 1 of the standard normal table.

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Click here to view page 2 of the standard normal table.

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The area to the left of

z=1.11

under the standard normal curve is

.

(Round to four decimal places asneeded.)

7, Find the indicated probability using the standard normal distribution.

P(0

Click here to view page 1 of the standard normal table.

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Click here to view page 2 of the standard normal table.

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P(0

(Round to four decimal places asneeded.)

8,Assume the random variable x is normally distributed with mean

=84

and standard deviation

=4.

Find the indicated probability.

P(x<82)

P(x<82)=

(Round to four decimal places asneeded.)

9, In a normaldistribution, approximately99.7% of the area under the normal curve is within how many standarddeviation(s) of themean?

Choose the correct answer below.

One

Two

Four

Three

10, According to the EmpiricalRule, 68% of the area under the normal curve is between

and +. What percent of the area under the normal curve is between and +?

Choose the correct answer below.

A.

34%

B.

32%

C.

16%

D.

11, There is not enough information to determine the percent.

In a normaldistribution, approximately68% of the area under the normal curve is within how many standarddeviation(s) of themean?

Choose the correct answer below.

One-half

Three

One

Two

12, In a normaldistribution, approximately95% of the area under the normal curve is within how many standarddeviation(s) of themean?

Choose the correct answer below.

Two

One-half

One

Three

13, Suppose a normal model has a mean of =100, and95% of the values are between 90 and 110. Which of the following must be true about the standarddeviation?

Choose the correct answer below.

A.

The standard deviation must be approximately equal to 5.

B.

The standard deviation must be much less than 5.

C.

The standard deviation must be much greater than 5.

D.

There is not enough information to determine anything about the standard deviation.

14, Suppose a sample of the height in inches of players in the starting lineup of a particular basketball team was obtained and shown below. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed.

72, 66, 69, 77, 75

a. Construct a normal probability plot of the data. Choose the correct graph below.

A.

6580-202HeightNormalScore

A scatterplot has a horizontal axis labeled Height from 65 to 80 in increments of 5 and a vertical axis labeled Normal score from negative 3 to 3 in increments of 1. The following points are plotted: (66, 1.2), (69, 0.5), (72, 0), (75, negative 0.5), (77, negative 1.2). All points are approximate.

B.

6580-202HeightNormalScore

A scatterplot has a horizontal axis labeled Height from 65 to 80 in increments of 5 and a vertical axis labeled Normal score from negative 3 to 3 in increments of 1. The following points are plotted: (66, negative 1.2), (69, negative 0.5), (72, 0), (75, 0.5), (77, 1.2). All points are approximate.

C.

6580-202HeightNormalScore

A scatterplot has a horizontal axis labeled Height from

65 to 80 in increments of 5 and a vertical axis labeled Normal score from negative 3 to 3 in increments of 1. The following points are plotted: (66, negative 1.2), (69, negative 0.5), (72, 0), (75, negative 0.5), (77, negative 1.2). All points are approximate.