A very reliable baseball player is known to get a hit when at bat 42% of...
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Homework Answers
P(hit), p = 0.42
q = 1 - p = 0.58
Number of hits, n = 102
Normal approximation to the binomial, P(X < A) = P(Z < (A - mean)/standard deviation)
Mean = np
= 102 x 0.42
= 42.84
Standard deviation =
=
= 4.9847
P(breaking the record) = P(X 40)
= 1 - P(X < 39.5) {with continuity correction}
= 1 - P(Z < (39.5 - 42.84)/4.9847)
= 1 - P(Z < -0.67)
= 1 - 0.2514
= 0.7486
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