Question

Tim Parker, a star baseball player, hits one home run for every ten times he is at bat. If Parker goes to bat five times during tonight's game, what is the probability that he will hit at least four home runs?

Answer 1

To calculate the probability that Tim Parker hits at least four home runs in five at-bats, we can use the binomial distribution formula.

Step-by-step explanation:

To calculate the probability that Tim Parker hits at least four home runs in five at-bats, we can use the binomial distribution formula.

The probability of hitting a home run is 1/10, so the probability of not hitting a home run is 9/10.

The probability of hitting at least four home runs can be calculated by summing the probabilities of hitting four, five, or more home runs. This is equal to:

P(X>=4) = P(X=4) + P(X=5) + P(X=6) + ...

Using the binomial distribution formula, the probability of hitting exactly X home runs in N at-bats is:

P(X) = C(N,X) * p^X * (1-p)^(N-X)

In this case, N=5, p=1/10, and X>=4. Plugging in the values, we can calculate the probabilities and sum them up to get the final answer.