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4) The result of a study says that children receive genes from their parents independently and...

4) The result of a study says that children receive genes from their parents independently and that each child has probability 0.15 of having blood type O. What is the mean and standard deviation of the number of blood type O children among 5?

5) A car dealer says that on average they sell 3 cars per day. Consider that the daily sales follow the Poisson distribution.

a) Find the mean and the standard deviation of the daily sales of the dealer.

b) What is the probability that the dealer makes no sale in a day?

c) If this dealer has only 2 cars available to sell in a day, what is the probability that the dealer is not able to provide the customers demanding a car in the same day?

d) What is the average number of sales during a period of 4 days?

e) What is the probability that the dealer makes more than 1 sales during a period of 4 days?

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