# Question: Find the distribution function of the random variable Y of

Find the distribution function of the random variable Y of Exercise 3.20 and use it to determine the two probabilities asked for in that exercise.

In exercise

The probability density of the random variable Y is given by

Find P(Y < 3.2) and P(2.9 < Y < 3.2).

In exercise

The probability density of the random variable Y is given by

Find P(Y < 3.2) and P(2.9 < Y < 3.2).

## Answer to relevant Questions

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). With reference to Exercise 3.26, find the distribution function of X and use it to reevaluate the two probabilities asked for in that exercise. In exercise The distribution function of the random variable Y is given by Find P(Y ≤ 5) and P(Y > 8). With reference to Exercise 3.42, find the following values of the joint distribution function of the two random variables: (a) F(1.2, 0.9); (b) F(- 3, 1.5); (c) F(2, 0); (d) F(4, 2.7). In exercise Find the joint probability density of the two random variables X and Y whose joint distribution function is given byPost your question