Emergency Savings The table shows the results of a survey

Chapter 3, Problem 8E

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QUESTION:

Problem 8E

Emergency Savings The table shows the results of a survey in which 142 male and 145 female workers ages 25 to 64 were asked if they had at least one month’s income set aside for emergencies.

 

Male

Female

Total

Less than one month’s income

66

83

149

One month’s income or more

76

62

138

Total

142

145

287

(a) Find the probability that a randomly selected worker has one month’s income or more set aside for emergencies, given that the worker is female.

(b) Find the probability that a randomly selected worker is female, given that the worker has less than one month’s income set aside for emergencies.

Questions & Answers

QUESTION:

Problem 8E

Emergency Savings The table shows the results of a survey in which 142 male and 145 female workers ages 25 to 64 were asked if they had at least one month’s income set aside for emergencies.

 

Male

Female

Total

Less than one month’s income

66

83

149

One month’s income or more

76

62

138

Total

142

145

287

(a) Find the probability that a randomly selected worker has one month’s income or more set aside for emergencies, given that the worker is female.

(b) Find the probability that a randomly selected worker is female, given that the worker has less than one month’s income set aside for emergencies.

ANSWER:

Solution 8E

Step1 of 3:

From the given problem we have a data set and it is given below:

 

Male

Female

Total

Less than one month’s income

66

83

149

One month’s income or more

76

62

138

Total

142

145

287

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