Higher Study | Engineering Mathematics | Probability and Statistics

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Questions

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(X<sup>2</sup>Y<sup>2</sup>) = (E(X))<sup>2</sup> (E(Y))<sup>2</sup>

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