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.
Answer to relevant QuestionsFind 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 3.32, 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). The distribution function of the mixed random variable Z is given by Find P(Z = - 2), P(Z = 2), P(- 2< Z< 1), and P(0 ≤ Z ≤ 2). If the joint probability density of X and Y is given by Find P(X + Y < 1/2). Use the formula obtained in Exercise 3.58 to verify the result of Exercise 3.57. In exercise If F(x, y) is the value of the joint distribution function of the two continuous random variables X and Y at (x, y), express P(a < ...
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