Data from a large population indicate that the heights of mothers and daughters in this population follow a bivariate normal distribution with correlation 0.5. Both the mothers and daughters have a mean height of 5 ft 4in with a standard deviation on 2 inches.
If the correlation between mother and daughter’s height were 0, find the probability that both a mother and her daughter have height above average.
When I computed this I found that the probability would be 0.25 given the correlation is 0, but I am uncertain if this is right. Any help is appreciated. Thanks in advance.