Related InterviewSolutions

• If p.m.f. of a d.r.v. X is P(X = x) = \(\frac{(5_C{_x})}{2^5},\) for x = 0, 1, 2, 3, 4, 5 and = 0, otherwise. If a = P(X ≤ 2) and b = P(X ≥ 3), then(5Cx)/25,(a) a < b (b) a > b (c) a = b (d) a + b
• P.d.f. of a c.r.v. X is f(x) = 6x(1 – x), for 0 ≤ x ≤ 1 and = 0, otherwise (elsewhere) If P(X < a) = P(X > a), then a =(a) 1(b) 1/2(c) 1/3(d) 1/4
• If the p.d.f. of a c.r.v. X is f(x) = x2/18, for -3 < x < 3 and = 0, otherwise, then P(|X| < 1) =(a) \(\frac{1}{27}\)(b) \(\frac{1}{28}\)(c) \(\frac{1}{29}\)(d) \(\frac{1}{26}\)
• Consider a game where the player tosses a sixsided fair die. If the face that comes up is 6, the player wins Rs 36, otherwise he loses Rs k2, where k is the face that comes up k = {1, 2, 3, 4, 5}. The expected amount to win at this game in Rs is …(a) 19/6(b) -(19/6)(c) (3/2)(d) -(3/2)
• If the d.r.v. X has the following probability distribution :X-2-10123P(X = x)0.1k0.22k0.3kthen P(X = -1) =(a) 1/10(b) 2/10(c) 3/10(d) 4/10
• If p.m.f. of a d.r.v. X is P(x) = c/x3, for x = 1, 2, 3 and = 0, otherwise (elsewhere), then E(X) =(a) \(\frac{343}{297}\)(b) \(\frac{294}{251}\)(c) \(\frac{297}{294}\)(d) \(\frac{294}{297}\)
• If p.m.f. of a d.r.v. X is P(X = x) = \(\frac{x}{n(n + 1)},\) x/n(n + 1), for x = 1, 2, 3, ……, n and = 0, otherwise, then E(X) =(a) \(\frac{n}{1} + \frac{1}{2}\)(b) \(\frac{n}{3} + \frac{1}{6}\)(c) \(\frac{n}{2} + \frac{1}{5}\)(d) \(\frac{n}{1} + \frac{1}{3}\)
• The starting annual salaries of newly qualified chartered accountants (CA՚s) in Malaysia follow a normal distribution with a mean of RM180,000 and a standard deviation of RM10,000. What is the probability that a randomly selected newly qualified CA will earn between RM185,000 and RM200,000 per annum?
• Defects in yarn manufactured by a local mill can be approximated by a distribution with a mean of 1.2 defects for every 6 metres of length. If lengths of 6 metres are to be inspected, find the probability of fewer than 2 defects.
• 5 bad apples are mixed with 10 good ones. If 3 apples are drawn one by one with replacement, then find the probability distribution of the number of good apples.