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Criminologists have noticed that inmates at the same prison often obtain a parole hearing at different times during their sentence, even when they have similar

Criminologists have noticed that inmates at the same prison often obtain a parole hearing at different times during their sentence, even when they have similar sentences. Inmates at the Washington State's Penitentiary (WSP) tend to serve 107 months on average before their first parole hearing (with a standard deviation of 18 months). Assuming that the distribution of time served until the first hearing is approximately normal, we can summarize it as:

Time served N (107, 18)

a. Patrick is also at the same penitentiary and he is in the 74th month of his sentence. If there are 439 inmates, how many of them have served more time (before a hearing) than Patrick?

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