47. Consider three trials, each of which is either a success or not. Let X denote the...

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47. Consider three trials, each of which is either a success or not. Let X denote the number of successes. Suppose that E[X] = 1.8.

(a) What is the largest possible value of P{X = 3}?

(b) What is the smallest possible value of P{X = 3}?

In both cases, construct a probability scenario that results in P{X = 3} having the desired value.

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