# Question: Find the distribution function of the random variable X of

Find the distribution function of the random variable X of Exercise 3.17 and use it to reevaluate part (b).

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The probability density of the continuous random variable X is given by (a) Draw its graph and verify that the total area under the curve (above the x- axis) is equal to 1. (b) Find P(3 < X < 5). 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 Verify that f(x) = 2x/k(k+ 1) for x = 1, 2, 3, . . . , k can serve as the probability distribution of a random variable with the given range. 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, . . . ...Determine k so that Can serve as a joint probability destiny.Post your question