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 more than 21,800 inmates? (b) What is the

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Carter 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 more than 21,800 inmates?
(b) What is the probability of there being fewer than 18,800 inmates?
(c) What is the probability of there being between 19,000 and 21,000 inmates in a given month? 

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