SOLUTION: Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1/2. Find the probabilities that the family has the following children. 1. Exactly 2

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1/2. Find the probabilities that the family has the following children. 1. Exactly 2      Log On


   



Question 304391: Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1/2. Find the probabilities that the family has the following children.
1. Exactly 2 girls and 3 boys

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1/2. Find the probabilities that the family has the following children.
1. Exactly 2 girls and 3 boys
-----------
P(x = 2) = 5C2(1/2)^2(1/2)^3 = 10*(1/2)^5 = 10/32 = 5/16
---------------
Cheers,
Stan H.