Probability and Statistics MCQ

Test your knowledge with important Probability and Statistics MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Probability and Statistics MCQs on Bissoy. Bissoy App

• Consider a company that assembles computers. The probability of a faulty assembly of any computer is p. The company therefore subjects each computer to a testing process. This testing process gives the correct result for any computer with a probability of q. What is the probability of a computer being declared faulty?
  ক

  pq + (1 - p) (1 - q)

  খ

  (1 - q)p

  গ

  (1 - p)q

  ঘ

  pq
• If two fair coins are flipped and at least one of the outcomes is known to be a head, what is the probability that both outcomes are heads?
  ক

  $$\frac{1}{3}$$

  খ

  $$\frac{1}{4}$$

  গ

  $$\frac{1}{2}$$

  ঘ

  $$\frac{2}{3}$$
• Let X and Y be two independent random variables. Which one of the relations between expectation (E), variance (Var) and covariance (Cov) given below is FALSE?
  ক

  E(XY) = E(X) E(Y)

  খ

  Cov (X, Y) = 0

  গ

  Var (X + Y) = Var (X) + Var (Y)

  ঘ

  E(X²Y²) = (E(X))² (E(Y))²