Consider 3 trials, each having the same probabilityof

Chapter 7, Problem 7.10

(choose chapter or problem)

Consider 3 trials, each having the same probabilityof success. Let X denote the total numberof successes in these trials. If E[X] = 1.8,what is(a) the largest possible value of P{X = 3}?(b) the smallest possible value of P{X = 3}?In both cases, construct a probability scenario thatresults in P{X = 3} having the stated value.Hint: For part (b), you might start by letting U be auniform random variable on (0, 1) and then definingthe trials in terms of the value of U.

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