SOLUTION: A family has five children. Assume that the probability of having a boy is 0.5. write the term in the expansion of (b+g)^5 for each outcome described. then evaluate each probabilit

Question 251079: A family has five children. Assume that the probability of having a boy is 0.5. write the term in the expansion of (b+g)^5 for each outcome described. then evaluate each probability.
a. exactly 3 boys
b. exactly 4 boys
c. exactly 4 girls
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!



, 



The 1st term  is the probability of 5 boys

The 2nd term  is the probability 
of 4 boys and 1 girl.

The 3rd term  is the probability 
of 3 boys and 2 girls. 

The 4th term  is the probability 
of 2 boys and 3 girls.

The 5th term  is the probability 
of 1 boy and 4 girls.

The 6th term  is the probability of 5 girls.

a. exactly 3 boys


That's the 3rd term

b. exactly 4 boys


That's the 2nd term

c. exactly 4 girls


That's the  5th term 

Edwin

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