5. Reconsider the house fire problem of Example 7.4. In this exercise we will investigate the problem of estimating the rate at which emergency calls occur. (a) Suppose that 2,050 emergency calls are received in a one-year period. Estimate the rate of house fires per month. (b) Assuming that the true value of is 171 calls per month, calculate the range of normal variation for the number of emergency calls received in one year. (c) Calculate the range of for which 2,050 calls in one year is within the range of normal variation. How accurate is our estimate of the true rate at which house fires occur? (d) How many years of data would be required to obtain an estimate of accurate to the nearest integer (an error of 0.5)