Question

At a university, the probability that an incoming freshman will graduate within four years is 0.654. what is the probability that at least 70 out of a group of 110 incoming freshman will graduate in four

years?

Answer 1

about 0.6903

Explanation:

You want the probability that 70 or more of 110 incoming freshmen will graduate in 4 years if the probability that one will do so is 0.654.

Binomial distribution

A suitable calculator can evaluate the binomial CDF for you. the probability that 69 or fewer will graduate is about 0.31, so the probability that 70 or more will graduate is about 0.69.

p(X ≥ 70) ≈ 0.6903

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