19 .Pinworminfestation, commonly found inchildren, can be treated with a drug that is effective in 82% of cases. Suppose that three children with pinworm infestation are given the drug. Complete parts(a) through(g) below.

a. Considering a success in a given case to be"a cure," formulate the process of observing which children are cured and which children are not cured as a sequence of three Bernoulli trials. Select the correct choice below and fill in the answer box within your choice.

(Answer as an integer or a decimal. Do notround.)

A. Each trial consists of observing whether the child is not cured of the pinworm infestation by the drug and has two possibleoutcomes, either not cured or cured. The results are independent. Supposing a success s is that the child is notcured, the success probability p is ( ? )

.B.Each trial consists of observing whether the child is cured of the pinworm infestation by the drug and has three possibleoutcomes, which arecured, notcured, or partially cured. The results are independent. Supposing a success s is that the child iscured, the success probability p is

( ? )

C.Each trial consists of observing whether the child is cured of the pinworm infestation by the drug and has two possibleoutcomes, either cured or not cured. The results are dependent on other results. Supposing a success s is that the child iscured, the success probability p is

( ? )

D. Each trial consists of observing whether the child is cured of the pinworm infestation by the drug and has two possibleoutcomes, either cured or not cured. The results are independent. Supposing a success s is that the child iscured, the success probability p ( ? )

17 In probability andstatistics, what is each repetition of an experimentcalled?

a. Probability

b. trial

c. event

d. mean

e. success

16 The table below shows the probability distribution of the random variable X.

a. Find the mean of the random variable.

b. Obtain the standard deviation of the random variable.

x. P(X=x)

1 0.2

2 0.4

3 0.4

a. Find the mean of the random variable.

=. (Round to two decimal places asneeded.)

15 Let X denote the number of cousins of a randomly selected student. Explain the difference between {X=7} and P(X=7).

Choose the correct answer below.

A. {X=7} is the event that the student has seven cousins; P(X=7) is the probability of the event that the student has seven cousins.

B.

{X=7} is the relative frequency that a student has seven cousins; P(X=7) is the frequency that a student has seven cousins.

C.

{X=7} is the frequency that a student has seven cousins; P(X=7) is the relative frequency that a student has seven cousins.

D.

{X=7} is the probability of the event that the student has seven cousins; P(X=7) is the event that the student has seven cousins.

14 According to anarticle, 39% of adults have experienced a breakup at least once during the last 10 years. Of nine randomly selectedadults, find the probability that thenumber, X, who have experienced a breakup at least once during the last 10 years is

a.exactlyfive; at mostfive; at least five.

b. at leastone; at most one.

c.between three and five, inclusive.

d.Determine the probability distribution of the random variable X.

e.Strictlyspeaking, why is the probability distribution that you obtained in part(d) only approximatelycorrect? What is the exact distributioncalled?

a. The probability that exactly five adults have experienced a breakup at least once during the last 10 years is ( ? )

(Round to three decimal places asneeded.)

13 The probability is 0.4 that a traffic fatality involves an intoxicated oralcohol-impaired driver or non occupant. In ten trafficfatalities, find the probability that thenumber, Y, which involve an intoxicated oralcohol-impaired driver or non occupant is

a. exactlythree; at leastthree; at most three.

b. between two and four, inclusive.

c. Find and interpret the mean of the random variable Y.

d. Obtain the standard deviation of Y.

a. The probability that exactly three traffic fatalities involve an intoxicated oralcohol-impaired driver or non occupant is

( ? )

(Round to four decimal places asneeded.)

11 Use the Simulating a Binomial Distribution applet to answer the question.

About10% of the population of males areleft-handed. Suppose you are to select a random sample of five males. Let X denote the number of males of these five that areleft-handed. We note that X has the binomial distribution with parameters n=5 and p=0.1.

Apply the applet to simulate 1000 observations of this binomial distribution. Use your result to estimate the probabilitythat, of the five malesselected, the number that areleft-handed is at least two. Which of the following is closest to yourestimate?

Choose the correct answer below.

A.0.33

B.0.92

C.0.50

D.0.08

9 A factory manager collected data on the number of equipment breakdowns per day. From thosedata, she derived the probability distribution shown to theright, where W denotes the number of breakdowns on a given day. Answer parts a through c.

w P(W=w)

0 0.65

1 0.20

2 0.15

a. Determine W and W.

W and W=

(Type an integer or adecimal.)

8 A game of chance is played on a wheel that contains 34 numbers (16 arered, 16 areblack, and 2 aregreen). When the wheel isspun, the ball is equally likely to land on any of the 34 numbers. Suppose that you bet $9 on black. If the ball lands on a black number, you win $9; otherwise you lose your $9. Let X be the amount you win on your $9 bet. Then X is the random variable whose probability distribution is as follows.

(x ) - 9 9

P(X=x)- 0.471. 0.529

Use this to complete parts(a)

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

The expected value is ( ? )

(Round to three decimal places asneeded.)

7 The random variable Y is the sum of the dice when two balanced dice are rolled. Its probability distribution is given below. Complete parts a .

y P(Y=y)

2 0.027778

3 0.055556

4 0.083333

5 0.111111

6 0.138889

7 0.166667

8 0.138889

9. 0.111111

10 0.083333

11 0.055556

12 0.027778

a. Find and interpret the mean of the random variable.

= ( ?)

(Type an integer or decimal rounded to three decimal places asneeded.)

6 The accompanying table provides a probability distribution for the number of majorhurricanes, Y, for a randomly selected year between 1851 and 2012.

6y P(Y=y)

0 0.186

1 0.259

2 0.215

3 0.093

4. 0.045

5 0.056

6 0.022

7 0.012

8 0.112

a. Find and interpret the mean of the random variable.

= ( ? ) (Round to three decimal places asneeded.)

5 The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below.

a. Find and interpret the mean of the random variable.

= ( ? )

(Round to three decimal places asneeded.)

x P(X=x)

2 0.026

4 0.048

5 0.344

6 0.220

7 0.356

8 0.006