Suppose that a married couple in Canada decide to have babies until they get the first girl baby. It is well-known that in high-latitude countries, the chance of have a girl is slightly higher than the chance of having boy. Suppose that the chance of having a girl in Canada is 0.52. Let R be the ratio of boys to girls in the second generation for this family.
a) Find the mean and variance of R
b) What is the chance that there are more than 2 boy babies in the family?
The Attempt at a Solution
a) So the mean is E(X) of some random variable X. But R is a ratio. R is 48:52. How would R have a range if it is a ratio?
b) Need to have 3 or more boys. So first 3 need to be boys: (48/100)^3