Exercises

1. Two equally matched baseball teams play six games. What is the probability that each will win three games?

2. Ten babies were born in Hospital A and 20 babies were born in hospital B. Assuming boy and girl babies are equally likely, compute the probability:

(1) that 70% or more of the babies born in Hospital A were girls.
(2) that 70% or more of the babies born in Hospital B were girls.

3. What is the relationship between p and how well the normal distribution approximates the binomial distribution.

4. What is the relationship between N and how well the normal distribution approximates the binomial distribution.

5. What famous theorem implies that with large N the binomial will be approximately normal?