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SOLVED:Consider 3 trials, each having the same probability of success. Let X denote the total number of 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 that results in P{X=3} having the stated value. HINT: For part (b) you might start by letting U be a uniform random variable on (0,1) and then defining the trials in terms of the value of U.
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