# Question: The p d f of the random variable X is

The p. d. f. of the random variable X is given by

Find

(a) The value of c;

(b) P(X < 1/4 ) and P(X > 1).

Find

(a) The value of c;

(b) P(X < 1/4 ) and P(X > 1).

## Answer to relevant Questions

Find the distribution function of the random variable X of Exercise 3.22 and use it to determine the two probabilities asked for in part (b) of that exercise. In exercise The p. d. f. of the random variable X is given by Find the distribution function of the random variable X whose probability density is given by Also sketch the graphs of the probability density and distribution functions. With reference to Exercise 3.34, find the probability density of Y and use it to recalculate the two probabilities. In exercise Find P(Y ≤ 5) and P(Y > 8). If the joint probability distribution of X and Y is given by f(x, y) = c(x2 + y2) for x = - 1, 0, 1, 3; y = - 1, 2, 3 find the value of c. Use the joint probability density obtained in Exercise 3.54 to find P(1< X ≤ 2, 1< Y ≤ 2). In exercisePost your question