At library, the probability that a book late is 1/10. There are 225 books currently being borrowed. Let X be the number of these books which will be returned late.
a. Calculate P (X = 25) exact
b. Approximate P (X = 25) using the Poisson distribution.
c. Approximate P (X = 25) using the normal distribution. Write your answer in terms of Φ, the cdf for the standard normal random variable.
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