A3. A company runs a standard and an accelerated graduate training program to helpdevelop the new talent within the company. Given a randomly selected graduateemployee on the standard scheme, the probability that they gain promotion within 2years is 0.45. The probability that a graduate employee is on the standard scheme is0.70. The probability that a graduate employee is promoted within 2 years is 0.60. Thejoint probability table is given as follows:

(a) Show that the probability that a randomly chosen graduate employee is promoted within two years and is on the standard scheme is 0.315. (b) Copy the joint probability table into your answer book and then complete the table with the missing probabilities. (c) Given that a graduate employee is on the accelerated scheme, find the probability that they are not promoted within 2 years.