Question 1 (4 parts): Law firms devote considerable resources and planning to the recruiting of new associates. The New York office of a major law firm plans the firm's East Coast recruiting. They have set a target of hiring a minimum of 14 and a maximum of 17 new associates this year. Historical data show that 68% of the firm's offers have been accepted. a. If the firm adopts a "conservative hiring plan" and makes only 17 offers, what is the expected number of acceptances? If the firm adopts a more "aggressive hiring plan" and makes 23 offers, what is the expected number of acceptances? b. If the firm adopts the "conservative hiring plan" and makes only 17 offers, what is the probability that the firm will meet its hiring target and at least 14 but no more than 17 of those offers (inclusive) will be accepted? c. If the firm adopts the more "aggressive hiring plan" and makes 23 offers, what is the probability that the firm will meet its hiring target and at least 14 but no more than 17 of those offers (inclusive) will be accepted? d. If the firm adopts the more "aggressive hiring plan" and makes 23 offers, what is the probability that fewer than the targeted number of offers will be accepted? What is the probability that more than the targeted number of offers will be accepted