Out of 10000 hospitals uou discover that 8 hospitals report

Out of 10,000 hospitals, uou discover that 8 hospitals report 10 consecutive female births at the beginning of 2015. How likely (or unlikely) is this result? Hint: This will also include hospitals with more than 10 consecutive male births. The probability of a female is .512.

Solution

Probability of Female = 0.512

Probability that 10 consecutive births in a hospital will be all female = (0.512)^10 = 0.0012

Therefore,

Number of hospitals do you expect to report that the first 10 babies born in their maternity ward in 2015 were all female = 10000 * 0.0012 = 12 Hospitals

This result is not likely.