For the purposes of this question, assume that every at bat by the

baseball team is independent of each other at- bat and that all batters have the same probability of

getting a hit in each at-bat. To this point in the season, the baseball team has had 1374

at-bats. Also, assume that the probability of getting a hit in each at -bat is equal to 0.25.

Using a normal approximation, approximate the probability that the team gets no more

than 331 hits in their 1374 at-bats.

Are the assumptions in the setup to this problem valid? Explain why or why not.