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Forbin County Jail has a mean monthly inmate population of 20,000 with a standard deviation of 500. If the inmate population (considered on a monthly

Forbin County Jail has a mean monthly inmate population of 20,000 with a standard deviation of 500. If the inmate population (considered on a monthly basis) is normally distributed...
(a)What is the probability of there being between 19,000 and 21,000 inmates in a given month?(b)What is the probability of there being fewer than 16,000 inmates?
(c)What percentile is associated with there being 12,345 inmates?

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