Help needed ASAP A political committee consists of eight Democrats and seven Rep

Question

Help needed ASAP

A political committee consists of eight Democrats and seven Republicans A subcommittee of eight people needs to be formed from this group (For this problem define a success as a Democrat being selected for the subcommittee.) Determine the probability that this subcommittee v/ill consist of six Democrats and two Republicans if they were randomly selected. Calculate the mean and standard deviation of this distribution. The probability that this subcommittee will consist of six Democrats and two Republicans if they were randomly selected is. (Round to four decimal places as needed.)

Explanation / Answer

P(democrat) , p = 8/15 = 0.53

n = 8

a) P(6 democrats) = 8C6 * 0.536 * (1 - 0.53)8-6

                              = 0.1371

b) mean = n * p = 8 * 0.53 = 4.24

standard deviation = sqrt(n * p * (1-p)) = sqrt(8 * 0.53 * (1-0.53)) = 1.41

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