2. In a study that contains a sample size of 100 teenagers, 23 of which work part time in the service industry, 26 teenagers work in retail, and 52 work part time in other sectors. a) Find the probability that a teenager works part time at only one of the two industry sectors listed above. (Draw a Venn diagram) b) Find the probability that a teenager works part time at both industry sectors listed above. (Draw a Venn diagram) c) Are the two events mutually exclusive? Why or why not?