Question: The following is a binomial experiment, but the large number of trials involved creates major problems with many calculators. Overcome that obstacle by approximating the

The following is a binomial experiment, but the large number of trials involved creates major problems with many calculators. Overcome that obstacle by approximating the binomial by the Poisson you bet on the number 7 for one spin of a roulette wheel, there is a 1/38 probability of winning. Assume that bets are placed on the number 7 in each of 500 different spins.
a. Find the mean number of wins in such experiments.
b. Find the probability that 7 occurs exactly 13 times.
c. Compare the result to the probability of 0.111, which is found from the binomial probability formula.

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