A common assumption is that gender of successive offspring is independent. To test this assumption, birth records were collected from the first 5 births in 51, 868 families.In families with exactly 5 children. The following table shows a frequency distribution of the number of male offspring.

# males	# families
0	518
1	2245
2	4621
3	4753
4	2476
5	549
Total	15162

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1. What is the best estimate of the probability of a male birth based on the observed data?

2. What is the probability of 0, 1, 2, 3, 4, and 5 male births out of 5 births, based on that estimate?

3. Test the hypothesis that the gender of successive offspring is independent based on the model (probabilities) you just calculated. What are your conclusions concerning the hypothesis?