What is the probability that the man does work and woman does not ...

[bobbie]

What is the probability that the man does work and woman does not work?
 
  What will be an ideal response?

Question 2

What are the three data values such that the new sample has a median of 70? Justify your answer.
 
  What will be an ideal response?

[l.stuut]

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.