In a jury selection pool, 65% of the people are female. Of these 65%, one out of four works in a health field.
1. Find the probability that a randomly selected person from the jury pool is female and works in a health field. Is this event unusual?
2. Find the probability that a randomly selected person from the jury pool is female and does not work in a health field. Is this event unusual?
a. Identify events A and B.
b. Use the Multiplication Rule to write a formula to find the probability. If necessary, use the complement.
c. Calculate the probability.
d. Determine whether the event is unusual. Explain.