Q-5(a) A continuous random variable X that can assume values between x=2 and x=5 has a density function given by f(x) = 2(1 + x)/27.Find P(3 < X < 4).

[2.5 Marks]

Q-5(b) A firm report 35% of the probability that its accounts receivable from other business firms are overdue. If an accountant takes a random sample of five such accounts, then construct the probability distribution table for accounts are overdue.

[2.5 Marks]