Shower temperature at the Oxnard Health Club showers is regulated automatically. The heater kicks in when the temperature falls to 95F and shuts off when the temperature reaches 109F. Water temperature then falls slowly until the heater kicks in again. At a given moment, the water temperature is a uniformly distributed random variableU(95,109).

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

Meandegrees

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

Standard deviationdegrees

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

75th percentiledegrees