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Shower temperature at the Oxnard health club showers is regulated automatically. The heater kicks in when temperature falls to 95 and shuts off when the

Shower temperature at the Oxnard health club showers is regulated automatically. The heater kicks in when temperature falls to 95 and shuts off when the temperature reaches 112. Water temperature then falls slowly until the heater kicks in again. at a given moment, the water temperature is uniformly distributed random variable U(95,112).

Find the standard deviation of the temperature. (round to 4 decimal places.)

Find the 75th percentile for water temperature. ( round to 2 decimal places.)

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