Shower temperature at the Oxnard Health Club showers is regulated automatically. The heater kicks in when the temperature falls to 99ºF and shuts off when the temperature reaches 107ºF. Water...

Shower temperature at the Oxnard Health Club showers is regulated automatically. The heater kicks in when the temperature falls to 99ºF and shuts off when the temperature reaches 107ºF. Water temperature then falls slowly until the heater kicks in again. At a given moment, the water temperature is a uniformly distributed random variableU(99,107).


(a) Find the mean temperature.(Round your answer to 1 decimal place.)


Mean             degrees


(b) Find the standard deviation of the temperature. (Round your answer to 4 decimal places.)


Standard deviation             degrees


(c) Find the 75th percentile for water temperature.(Round your answer to 2 decimal places.)


75th percentile             degrees