Related InterviewSolutions

• If A and B are events such that P(A) = 0.3, P(B) = 0.2 and P(A∩ B) = 0.1, then P(\(\overline {A}\cap B\)) = ?A. 0.2B. 0.1C. 0.4D. 0.5
• In a class, 60% of the students read mathematics, 25% biology and 15% both mathematics and biology. One student is selected at random. What is the probability that he reads mathematics if it is known that he reads biology?A. \(\frac{2}{5}\)B. \(\frac{3}{5}\)C. \(\frac{3}{8}\)D. \(\frac{5}{8}\)
• It is given that the probability that A can solve a given problem is \(\frac{3}{5}\) and the probability that B can solve the same problem is \(\frac{2}{3}.\) The probability that at least one of A and B can solve a problem isA. \(\frac{2}{5}\)B. \(\frac{1}{15}\)C. \(\frac{13}{15}\)D. \(\frac{2}{15}\)
• A machine operates only when all of its three components function. The probabilities of the failures of the first, second and third component are 0.2, 0.3 and 0.5, respectively. What is the probability that the machine will fail?A. 0.70B. 0.72C. 0.07D. None of these
• A die is thrown 100 times. Getting an even number is considered a success. Find the mean and variance of success.
• If A and B are independent events such that P(A) = 0.4, P(B) =x and P(A ∪ B) = 0.5, then x = ?A. \(\frac{4}{5}\)B. 0.1C. \(\frac{1}{6}\)D. None of these
• If A and B are mutually exclusive events such that P(A) = 0.4, P(B) =x and P(A ∪ B) = 0.5, then x = ?A. 0.2B. 0.1C. \(\frac{4}{5}\)D. None of these
• Bring out the fallacy, if any, in the following statement:‘The mean of a binomial distribution is 6 and its variance is 9’
• In a binomial distribution, if n = 20, q = 0.75, then write its mean.
• In a binomial distribution, n = 4. If 2 P(X = 3) = 3 P(X = 2) then p = ______(a) \(\frac{4}{13}\)(b) \(\frac{5}{13}\)(c) \(\frac{9}{13}\)(d) \(\frac{6}{13}\)