6. Prove the formulas for the mean and variance of the binomial distribution. Repair jobs arrive at...

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6. Prove the formulas for the mean and variance of the binomial distribution.

Repair jobs arrive at a small-engine repair shop in a totally random fashion at the rate of 10 per day.

a. What is the average number of jobs that are received daily at the shop?

b. What is the probability that no jobs will arrive during any 1 hour, assuming that the shop is open 8 hours a day?

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