Continue to view this database as the sample space as in database exercise 1. Consider the two events “high experience (six years or more)” and “female.”
a. Find the probabilities of these two events.
b. Find the probability of their intersection. What does this represent?
c. Draw a probability tree for these two events, where the first branch is for the event “female.”
d. Find the conditional probability of high experience given female.
e. Find the conditional probability of being female given high experience.
f. Find the probability of being male without high experience.
g. Are the two events “female” and “high experience” independent? How do you know?
h. Are the two events “female” and “high experience” mutually exclusive? How do you know?