Answer to Question 1
P(both man and woman are not working) = 1 - .88 = 0.12
P(woman doesn't work man doesn't work) = 0.40
P(man does not work) = P(both man and woman are not working)/0.40
= 0.12/0.40 = 0.30
P(man works) = 1 - P(man doesn't work) = 1 - 0.30 = 0.70
P(man works) = P(man works and woman works) +
P(man works and woman does not work)
P(man doesn't work and woman works) = 0.30 - 0.12 = 0.18
P(woman works and man works) = 0.40 - 0.18 = 0.22
Then, 0.70 = 0.22 + P(man works and woman does not work)
Hence, P(man works and woman does not work) = 0.70 - 0.22 = 0.48
Answer to Question 2
Many different answers are possible. Need two numbers smaller than 70 and one number larger than 70. For example, we may choose 50, 60, and 80. Thus the five numbers are 50, 60, 70, 80, 100, and the median is 70.
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