1. The probability that Jacqueline will be elected to the students' council is 0.6, and the probability that she will be selected to represent her school in a public-speaking contest is 0.75. The probability of Jacqueline achieving both of these goals is 0.5.

a)Are these two goals mutually exclusive? Explain your answer.

b)Are these two goals independent? Explain your answer.

c)What is the probability that Jacqueline is either elected to the students' council or picked for the public-speaking contest?