Chapter 5

2) Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

x	P(x)
	0	0.028
	1	0.151
	2	0.321
	3	0.321
	4	0.151
	5	0.028

Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

=(enter your response here)

child(ren) (Round to one decimal place as needed.)

B.

The table does not show a probability distribution.

q3) When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

x	P(x)
	0	0.647
	1	0.299
	2	0.049
	3	0.004
	4	0.001
	5	0.000

Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

=(enter your response here)

male(s) (Round to one decimal place as needed.)

B.

The table does not show a probability distribution.

4- Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, I'd put U and I together." The random variable x is the number of women Ted approaches before encountering one who reacts positively. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

x	P(x)
	0	0.001
	1	0.008
	2	0.029
	3	0.062

Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

=enter your response here

women (Round to one decimal place as needed.)

B.

The table does not show a probability distribution.

5- Groups of adults are randomly selected and arranged into groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

x	P(x)
	0	0.364
	1	0.444
	2	0.170
	3	0.022

Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

=(enter your response here)

adult(s) (Round to one decimal place as needed.)

B.

The table does not show a probability distribution.

6- Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births.

Number of Girls x	P(x)
0	0.002
1	0.029
2	0.104
3	0.223
4	0.283
5	0.227
6	0.104
7	0.025
8	0.003

The mean is

=(enter your response here)

girl(s). (Round to one decimal place as needed.)

7- The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls.

Use the range rule of thumb to identify a range of values that are not significant.

The maximum value in this range is

(enter your response here)

girls.

(Round to one decimal place as needed.)

Probability distribution for x

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Number of Girls x	P(x)
0	0.003
1	0.012
2	0.039
3	0.116
4	0.201
5	0.246
6	0.206
7	0.114
8	0.037
9	0.017
10	0.009

8- The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below.

a. Find the probability of getting exactly 6 girls in 8 births.

enter your response here

(Type an integer or a decimal. Do not round.)

Probability distribution for x

Dialog content starts

	Number of Girls x	P(x)
	0	0.003
	1	0.012
	2	0.118
	3	0.223
	4	0.288
	5	0.223
	6	0.118
	7	0.012
	8	0.003

9- the accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below.

a. Find the probability of getting exactly 1 girl in 8 births.

enter your response here

(Type an integer or a decimal. Do not round.)

Probability distribution for x

Dialog content starts

	Number of Girls x	P(x)
	0	0.002
	1	0.039
	2	0.107
	3	0.219
	4	0.266
	5	0.219
	6	0.107
	7	0.039
	8	0.002

10- In a state's Pick 3 lottery game, you pay $1.11 to select a sequence of three digits (from 0 to 9), such as 599. If you select the same sequence of three digits that are drawn, you win and collect $400.17. Complete parts (a) through (e).

a. How many different selections are possible?

CHAPTER 5.2

1- Based on a survey, assume that 41% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected, exactly two of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.

5- Multiple-choice questions each have four possible answers (a,b,c,d), one of which is correct. Assume that you guess the answers to three such questions.

a. Use the multiplication rule to find

P(CWC), where C denotes a correct answer and W denotes a wrong answer.

P(CWC)=

6- Assume that random guesses are made for nine multiple-choice questions on an SAT test so that there are n=9 trials, each with a probability of success (correct) given by p=0.35. Find the indicated probability for the number of correct answers.

Find the probability that the number x of correct answers is fewer than 4.

P(X<4)=enter your response here

(Round to four decimal places as needed.)

7- Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 4 of them use their smartphones in meetings or classes. The probability is?

(Round to four decimal places as needed.)

8- Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 25 adult smartphone users are randomly selected, find the probability that exactly 15 of them use their smartphones in meetings or classes. The probability is?

(Round to four decimal places as needed.)

9- Based on a poll, among adults who regret getting tattoos, 14% say that they were too young when they got their tattoos. Assume that seven

adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

enter your response here

(Round to four decimal places as needed.)

10- A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test

46 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 4000 aspirin tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?

The probability that this whole shipment will be accepted is

enter your response here.

(Round to four decimal places as needed.)