Assume you have applied to two different jobs A and B. In the past, 20 % of applicants who applied for Job A were offered jobs, while Job B offered 10 % of the applicants. Assume events are independent of each other.

(a) What is the probability that you will be offered both jobs?

(b) What is the probability that you will be offered at least one job?

(c) What is the probability that one and only one of the jobs will be offered to you? (d) What is the probability that neither jobs will be offered to you?

An investment banker estimates the following probability distribution for the earnings per share (EPS) of a firm.

x(EPS)            2.25              2.50              2.75              3.00              3.25              3.50              3.75

P(x)               0 .05              0.10              0.20             0.25               0.20             0.15              0.05

Calculate mean (i.e., the expected value) and standard deviation of the EPS.