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A Poll showed that 25% of Germans are satisfied with the way things are going in the

Germany. Suppose a sample of 15 Germans is selected as part of a study of the state of the

nation.

a) Compute the probability that exactly 5 of the 15 Germans surveyed are satisfied with the way

things are going in the Germany.

b) Compute the probability that at least 3 of the Germans surveyed are satisfied with the way things

are going in the Germany.

c) Compute the probability that no more than 4 of the Germans surveyed are satisfied with the way

things are going in the Germany.

d) Compute the probability that more than 2 but less than 6 of the Germans surveyed are satisfied

with the way things are going in the Germany.

e) Compute the expected value, variance, and standard deviation of the number of Germans who

are satisfied with the way things are going in the Germany.