Evaluated over a large number of pitches, a varsity women softball pitcher threw 1400 strikes and 600 balls. Assuming things remain the same, what is the probability she will throw at least 35 strikes in her next 40 pitches. Assume independence between throws.
A) 0.0427
B) 0.0418
C) 0.0001
D) 0.0078

Question

Quizplus · Accepted Answer

The probability of throwing a strike is 1400/(1400+600) = 0.7. Using the binomial distribution with n=40 and p=0.7, the probability of throwing at least 35 strikes is calculated, which is approximately 0.0078.

Evaluated Over a Large Number of Pitches, a Varsity Women