The UK record for the number of children born to a mother is 39, 32 of them girls. Assuming the…

The UK record for the number of children born to a mother is
39, 32 of them girls. Assuming the probability of a girl in a single birth is
0.5 and that this probability is independent of previous births:

(a) Find the probability of 32 girls in 39 births (you’ll
need a scientific calculator or a computer to help with this!).

(b) Does this result cast doubt on the assumptions?