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[answered] 1. Heights of men on a baseball team have a bellshaped dist


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  1. 1. Heights of men on a baseball team have a bell-shaped distribution with a mean of 171 cm and a standard deviation of 6 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?

a. 153 cm and 189 cm

b. 165 cm and 177 cm

a. % of the men are between 153 cm and 189 cm.

(Round to one decimal place as needed.)

b. % of the men are between 165 cm and177 cm.

(Round to one decimal place as needed.)

  1. 2. The table below shows the results of a survey in which 143 men and 145

women workers ages 25 to 64 were asked if they have at least one month's income set aside for emergencies. Complete parts (a) through (d).

Men

Women

Total

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Less than one month's income

66

84

150

One month's income or more

77

61

138

Total

143

145

288

(a) Find the probability that a randomly selected worker has one month's income or more set aside for emergencies.

The probability is (Round to the nearest thousandth as needed.)

(b) Given that a randomly selected worker is a male, find the probability that the worker has less than one month's income.

The probability is . (Round to the nearest thousandth as needed.)

(c) Given that a randomly selected worker has one month's income or more, find the probability that the worker is a female.

The probability is . (Round to the nearest thousandth as needed.)

(d) Are the events "having less than one month's income saved" and "being male" independent or dependent?

Dependent

Independent

  1. 3. According to a survey, 59% of the residents of a city oppose a downtown casino. Of these 59%about 8 out of 10 strongly oppose the casino. Complete parts (a) through (c).

  1. Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino.
  2. Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.
  3. Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino? Explain.
  4. The probability that a randomly selected resident opposes the casino and strongly opposes the casino is .(Round to three decimal places as needed.)
  5. The probability that a randomly selected resident who opposes the casino does not strongly opposes the casino is .(Round to three decimal places as needed.)

(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino? Explain. Choose the correct answer below.

A.Yes, this is unusual because the probability is not less than or equal to 0.05.

B. No, this is not unusual because the probability is less than or equal to 0.05.

C. No, this is not unusual because the probability is not less than or equal to 0.05.

D. Yes, this is unusual because the probability is less than or equal to 0.05.

  1. The table below shows the number of male and female students enrolled in nursing at a university for a certain semester. A student is selected at random. Complete parts (a) through (d).

Nursing majors???

Non-nursing majors

Total

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Males

91

1012

1103

Females

600

1723

2323

Total

691

2735

3426

(a) Find the probability that the student is male or a nursing major.

P(being male or being nursing

major)equals=nothing

(Round to the nearest thousandth as needed.)

(b) Find the probability that the student is female or not a nursing major.

P(being female or not being a nursing

major)equals=nothing

(Round to the nearest thousandth as needed.)

(c) Find the probability that the student is not female or a nursing major.

P(not being female or being a nursing

major)equals=nothing

(Round to the nearest thousandth as needed.)

(d) Are the events "being male" and "being a nursing major" mutually exclusive? Explain.

A.

Yes, because one can't be male and a nursing major at the same time.

B.

No, because there are

a) Find the probability that the student is male or a nursing major.

P (being male or being nursing major)equals=(Round to the nearest thousandth as needed.)

(b) Find the probability that the student is female or not a nursing major. P(being female or not being a nursing major)equals=(Round to the nearest thousandth as needed.)

(c) Find the probability that the student is not female or a nursing major.

P(not being female or being a nursing major)equals= (Round to the nearest thousandth as needed.)

(d) Are the events "being male" and "being a nursing major" mutually exclusive? Explain.

A.

Yes, because one can't be male and a nursing major at the same time.

B.

No, because there are 91 males majoring in nursing.

C.

Yes, because there are 91 males majoring in nursing.

D.

No, because one can't be male and a nursing major at the same time.


1. Heights of men on a baseball team have a bell?shaped distribution with a mean of 171 cm and a standard deviation of 6 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?

 

a. 153 cm and 189 cm

 

b. 165 cm and 177 cm

 

a. % of the men are between 153 cm and 189 cm.

 

(Round to one decimal place as needed.)

 

b. % of the men are between 165 cm and177 cm. (Round to one decimal place as needed.) 2. The table below shows the results of a survey in which 143 men and 145 women workers ages 25 to 64 were asked if they have at least one month's income set aside for emergencies. Complete parts (a) through (d).

 

Men

 

Women

 

Total Less than one month's income 66

 

84 150

 

One month's income or more

 

77

 

61 138

 

Total

 

143

 

145 288

 

(a) Find the probability that a randomly selected worker has one month's income or more set aside for emergencies.

 

The probability is (Round to the nearest thousandth as needed.) (b) Given that a randomly selected worker is a male, find the probability that the worker has less than one

 

month's income.

 

The probability is . (Round to the nearest thousandth as needed.)

 

(c) Given that a randomly selected worker has one month's income or more, find the probability that the worker is a female.

 

The probability is . (Round to the nearest thousandth as needed.) (d) Are the events "having less than one month's income saved" and "being male" independent or dependent?

 

Dependent

 

Independent

 

3. According to a survey, 59% of the residents of a city oppose a downtown casino. Of these 59

 

%about 8 out of 10 strongly oppose the casino. Complete parts (a) through (c).

 

(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino. (b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

 

(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino? Explain.

 

(a) The probability that a randomly selected resident opposes the casino and strongly opposes the casino is .(Round to three decimal places as needed.) (b) The probability that a randomly selected resident who opposes the casino does not strongly opposes the casino is .(Round to three decimal places as needed.) (c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino? Explain. Choose the correct answer below.

 

A.Yes, this is unusual because the probability is not less than or equal to 0.05. B. No, this is not unusual because the probability is less than or equal to 0.05. C. No, this is not unusual because the probability is not less than or equal to 0.05. D. Yes, this is unusual because the probability is less than or equal to 0.05.

 

4. The table below shows the number of male and female students enrolled in nursing at a university for a certain semester. A student is selected at random. Complete parts (a) through (d). Non?nursing Nursing Total

 

majors??? majors

 

Males 91 1012 1103

 

Female 600 1723 2323

 

s

 

Total 691 2735 3426 (a) Find the probability that the student is male or a nursing major.

 

P(being male or being nursing major)equals=

 

nothing (Round to the nearest thousandth as needed.)

 

(b) Find the probability that the student is female or not a nursing major.

 

P(being female or not being a nursing major)equals=

 

nothing (Round to the nearest thousandth as needed.)

 

(c) Find the probability that the student is not female or a nursing major. P(not being female or being a nursing major)equals=

 

nothing (Round to the nearest thousandth as needed.)

 

(d) Are the events "being male" and "being a nursing major" mutually exclusive? Explain.

 

A.

 

Yes, because one can't be male and a nursing major at the same time.

 

B.

 

No, because there are a) Find the probability that the student is male or a nursing major. P (being male or being nursing major)equals= (Round to the nearest thousandth as needed.) (b) Find the probability that the student is female or not a nursing major. P(being female or not being a nursing major)equals=

 

(Round to the nearest thousandth as needed.)

 

(c) Find the probability that the student is not female or a nursing major.

 

P(not being female or being a nursing major)equals= (Round to the nearest thousandth as needed.)

 

(d) Are the events "being male" and "being a nursing major" mutually exclusive? Explain.

 

A.

 

Yes, because one can't be male and a nursing major at the same time.

 

B.

 

No, because there are 91 males majoring in nursing.

 

C.

 

Yes, because there are 91 males majoring in nursing.

 

D.

 

No, because one can't be male and a nursing major at the same time.

 


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