# Question

With reference to Exercise 3.28, find P(0.8< X < 1.2) using

(a) The probability density;

(b) The distribution function.

(a) The probability density;

(b) The distribution function.

## Answer to relevant Questions

Find the distribution function of the random variable X whose probability density is given by Also sketch the graphs of these probability density and distribution functions. With reference to Figure 3.9, find expressions for the values of the distribution function of the mixed random variable X for (a) x ≤ 0; (b) 0< x< 0.5; (c) 0.5 F x< 1; (d) x ≥ 1. Figure 3.9 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 Use the joint probability density obtained in Exercise 3.54 to find P(1< X ≤ 2, 1< Y ≤ 2). In exercise Find k if the joint probability density of X, Y, and Z is given byPost your question

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