Problem 5.37 – a political committee consists of seven Democrats and five Republ

Question

Problem 5.37 – a political committee consists of seven Democrats and five Republicans. A subcommittee of six people needs to be formed from this group. Determine the probability that this subcommittee will consist of the following:

a. Two Democrats and four Republicans if they were randomly selected

b. Four Democrats and two Republicans if they were randomly selected

c. Three Democrats and three Republicans if they were randomly selected

d. Calculate the mean and standard deviation for the distribution which defines selecting a Republican as a success.

e. Verify these results with Excel.

Explanation / Answer

a) P( 2 R and 4 D) = 7C4* 5C2/13C6=7! *5!*6!*7! /(4!*3!*2!*3!*13!=350/1716

b) P(4D and 2R) = 7C2*5C4/13C6= 5*21/1716

c) P( 3D and 3R) = 7C3*5C3/13C6=350/1716

Please repost the other parts individually

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