Question

Consider a random variable X that has the Weibull distribution, and suppose that the parameter a is equal to 0.5 and the parameter 1 is equal to 4. True or False: X has a increasing failure rate.

Answer 1

solution:- Page 1 * Given data - a random variable x that has the weibull distribution. =) Let yn weibull (x,x); pdf of a f() 2 ()2-16-2);x20 clf of 8 (2) ? f (x) = .1-e H(t) be failure rate Here, a=0.5 & 2 = 4 f(t) H(U) .slt) f(t) 1 -f(t) 2-1 & ( 1 ) t - - (taj? (465)4 05 en boeties e-(+0.54 1-lté

Page 2 864) Keel H(t)= t е 8 3 t =) H(t) 0.125 v. H(t) = 64 +3 ie, H(x)= 64 x3 ; x 20 ia has increasing failure rate TRUE so the answer is Please, give me positive rate