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.
Answer to relevant QuestionsWith 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). For each of the following, determine c so that the function can serve as the probability distribution of a random variable with the given range: (a) f(x) = cx for x = 1, 2, 3, 4, 5; (b) (c) f(x) = cx2 for x = 1, 2, 3, . . . ...If the joint probability distribution of X and Y is given by f(x, y) = 1/30 (x+ y) for x = 0, 1, 2, 3; y = 0, 1, 2 Construct a table showing the values of the joint distribution function of the two random variables at the ...Find the joint probability density of the two random variables X and Y whose joint distribution function is given by With reference to Exercise 3.65, find P(X + Y < 1/2 ). In exercise Find k if the joint probability density of X, Y, and Z is given by
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