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Posted on Jun 29, 2024

A cruise ship has a 74% chance of having leftover rooms the week before the cruise. There are 25 cruise ships setting sail this month.

A. Is it possible to approximate this binomial distribution using a normal approximation?

B. What is the mean and the standard deviation for this approximation?

C. What is the probability that exactly 20 cruise ships will have leftover rooms using the normal approximation?

D. How different is the normal approximation from the binomial distribution value? Calculate the probability that exactly 20 cruise ships will have leftover rooms using the binomial method.

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