Logistic. The logistic cumulative distribution function is
(a) Determine the range of allowable values of the location and scale
(b) Verify that the function is a cumulative distribution function.
(c) Plot the cumulative distribution function as a function of the standardized variable 
(d) Give the formula for the probability density.
e) Plot the probability density as a function of the standardized parameters p and (I. standardized variable
(f) Give the formula for the hazard function.
(g) able z. Plot the hazard function as a function of the standardized vari-
BASIC CONCEWS AND DISTRIBUTIONS FOR PRODUCT LIFE
(h) Give the expression for the IOOFth percentile of this distribution.
(i) Give an expression for the distribution median in terms of µ and
(j) - Give the probability of a unit with age equal to p surviving an age µS(7.
(k)* Calculate the distribution mean. (1)* Calculate the distribution variance. (m)* Calculate the distribution standard deviation. (n) Find the cumulative distribution of w=exp(y), the log-logistic (0) Find the probability density of w.