The number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with mean $\lambda=7$. (a) Compute the probability that more than 10 customers will arrive in a 2 -hour period. (b) What is the mean number of arrivals during a 2-hour period?
Added by Karen M.
Step 1
The probability that more than 10 customers will arrive in a 2-hour period is the complement of the probability that 10 or fewer customers will arrive. We can use the cumulative distribution function (CDF) of the Poisson distribution to find this: $P(X > 10) = 1 Show more…
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