a. Derive a formula for the maximum likelihood estimate for the exponential distribution (Equation 4.46) parameter, . b. Derive a formula for the standard deviation of the sampling distribution for ,...

a. Derive a formula for the maximum likelihood estimate for the exponential distribution (Equation 4.46) parameter,
.

b. Derive a formula for the standard deviation of the sampling distribution for
, assuming n is large.

Test the fit of the Gaussian distribution to the July precipitation data in Table 4.8, using

a. A K-S (i.e., Lilliefors) test.

b. A chi-square test.

c. A Filliben Q-Q correlation test.