1. Shower temperature at the Spokane Club showers is regulated automatically. The heater kicks in when the temperature falls to 98F and shuts off when the temperature reaches 108FWater temperature then falls slowly until the heater kicks in again. At a given moment, the water temperature is a uniformly distributed random variableU(98,108). Show your work.(15 points)

• Find the mean temperature.
• Find the standard deviation of the temperature.
• Find the probability that the temperature is less than 100 degrees.
• Find the probability that the temperature is less than 102 degrees or more than 104 degrees.
• Find the 75th percentile for water temperature.