Use the result from Exercise 4.7 to compute: a. The 30th and 70th percentiles of July precipitation at Ithaca. b. The difference between the sample mean and the median of the fitted distribution. c....

Use the result from Exercise 4.7 to compute:

a. The 30th and 70th percentiles of July precipitation at Ithaca.

b. The difference between the sample mean and the median of the fitted distribution.

c. The probability that Ithaca precipitation during any future July will be at least 7 in

Exercise 4.7

For the Ithaca July rainfall data given in Table 4.8,

a. Fit a gamma distribution using Thom’s approximation to the maximum-likelihood estimators.

b. Without converting the individual data values, determine the values of the two parameters that would have resulted if the data had been expressed in mm.

c. Construct a histogram of this precipitation data and superimpose the fitted gamma density function.