Help with Binomial Distribution

Question

A high school baseball player has a 0.274 batting average. In one game, he gets 7 at bats.

What is the probability he will get at least 5 hits in the game?

Answer 1

The binomial probability of k successes in n tries, where the probability of success is p is:

C(n,k) p^k * (1-p)^(n-k)

The binomial probability of 5 successes (hits) in 7 tries, where the probability of a hit is 0.274 (the batting average is:

C(7,5) 0.274^5 * (1-0.274)^2