Question

Suppose each person of a 11 person jury makes the correct decision (guilty vs innocents) 63...

Suppose each person of a 11 person jury makes the correct decision (guilty vs innocents) 63 percent of the time. Calculate the probability that the majority of jurors reach a correct verdict.

Math   Statistics-And-Probability   
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Answer #1

Binomial Distribution

n = 11

p = 0.63

q = 1 - p = 0.37

To find P(X 6)

P(X6) = P(X=6) + P(X=7) + P(X=8) + P(X = 9) + P(X=10) + P(X=11)

So,

P(X6) = 0.8153

So,

Answer is:

0.8153

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