Question

a baseball player has a batting average of 0.24. what is the probability that he has exactly 1 hits in his next 7 at bats?

Answer 1

Using the binomial probability concept, the probability of having exactly 1 hit in his next 7 at bats is 0.324

Recall :

• P(x = x) = nCx * p^x * q^(n-x)
• p = probability of success = 0.24
• n = number of trials = 7
• q = 1 - p = 1 - 0.24 = 0.76

P(X = 1)= 7C1 × 0.24¹ × 0.76^6

P(X = 1) = 7 × 0.24 × 0.192699928576

P(X = 1) = 0.324

Therefore, the probability of having exactly 1 hit is 0.324

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