# Question

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

In exercise

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

## Answer to relevant Questions

The probability density of the random variable Z is given by Find k and draw the graph of this probability density. 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. The distribution function of the random variable X is given by Find P(X ≤ 2), P(1< X < 3), and P(X > 4). With reference to Exercise 3.44 and the value obtained for c, Find (a) P(X ≤ 1, Y > 2); (b) P(X = 0, Y ≤ 2); (c) P(X + Y > 2). In exercise f (x, y) = c(x2 + y2) for x = - 1, 0, 1, 3; y = - 1, 2, 3 Find the joint probability density of the two random variables X and Y whose joint distribution function is given byPost your question

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