A homeowner estimates that within the range of likely temperatures his January heating bill, Y, in dollars, will be Y = 290 - 5T where T is the average temperature for the month, in degrees...

A homeowner estimates that within the range of likely temperatures his January heating bill, Y, in dollars, will be

Y = 290 - 5T

where T is the average temperature for the month, in degrees Fahrenheit. If the average January temperature can be represented by a random variable with a mean of 24 and a standard deviation of 4, find the mean and standard deviation of this homeowner’s January heating bill.