f the 16 members of President Barak Obama’s first Cabinet, 4 were women. Suppose the president randomly selected 4 advisors from the cabinet for a meeting. Find the probability that the group of 4 would be composed as follows: (Hints: first define the random variable X. Then write the objective of each question in terms of X.)

B. All men;
c. At least one woman

Question

f the 16 members of President Barak Obama’s first Cabinet, 4 were women. Suppose the president randomly selected 4 advisors from the cabinet for a meeting. Find the probability that the group of 4 would be composed as follows: (Hints: first define the random variable X. Then write the objective of each question in terms of X.)


     B.   All men;
       c. At least one woman

perl · Answer

we can use a hypergeometric distribution (thats the fancy term for it). 
Lets define X = # of women chosen for meeting . There are 16 members (4 women and 12 men).  X can equal 0,1,2,3,4

perl · Answer

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