# Question

With reference to exercise 3.32, find the probability destiny of X and use it o recalculate the two probabilities.

In exercise

Find P(- 1/2 < X < 1/2 ) and P(2< X < 3).

In exercise

Find P(- 1/2 < X < 1/2 ) and P(2< X < 3).

## Answer to relevant Questions

The distribution function of the random variable Y is given by Find P(Y ≤ 5) and P(Y > 8). Use the results of Exercise 3.39 to find expressions for the values of the probability density of the mixed random variable X for (a) x< 0; (b) 0< x< 0.5; (c) 0.5< x< 1; (d) x> 1. P(X = 0.5) = 1/2 , as we already ...F(x, y) is the value of the joint distribution function of two discrete random variables X and Y at (x, y), show that (a) F(-∞,-∞) = 0; (b) F(q, q) = 1; (c) if a< b and c< d, then F(a, c) ≤ F(b, d). Use the joint probability density obtained in Exercise 3.56 to find P(X + Y > 3). In exercise Given the values of the joint probability distribution of X and Y shown in the table Find (a) The marginal distribution of X; (b) The marginal distribution of Y; (c) The conditional distribution of X given Y = - 1.Post your question

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