Question

1. For some constant c, the random variable X has probability density function

cx", 0
0, otherwise.

What is the value of c?

a) 1/n;

b) na ;

c)n + 1;

d) n;

e) n–1.

Answer 1

Answer is (D) n

Explanation:

Probability density function defines the likelihood of an outcome for a discrete random variable or a continuous random variable whose integral gives the probability that the value of the variable lies in the same interval.

The constant here is C

CX" implies CX prime prime (meaning that X has been differentiated twice).

The value of C is n, which is the number of values of X.