The range of allowable values of the location and scale

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Reference no: EM131056862

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.

(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 µ_S(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.

Reference no: EM131056862

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