Question

10. In a sales trainee program at Google, 80% of the trainees are female and 20% male. In addition, 90% of the female trainees attended college and 78% of the men did.

a. If a sales trainee is selected at random, “What is the probability the person is female who did not attend college?”

b. Are gender and “attending college” independent? Why or why not?

c. Construct a tree diagram depicting all the probabilities, conditional probabilities and joint probabilities.

d. Do the joint probabilities sum to 1.00? Why?

Answer 1

a) the probability the person is female who did not attend college = the probability that the person chose is a female and didn't attend college = 0.80 * 0.10=0.08

b) Gender and attending college is not independent as for the two events to be independent

but here this is not true.

c)

d) Yes, the joint probabilities sum to 1 as it is always true for probability distributions.