1. The Weibuil distritution is widely used in statistical problems relating to aging of solid
insulating materials subjected to aging and siress, Use this distribution as a model for time (in
howirs) to falure of solid insulating specimens subjected to AC voltage. The values of the
parameters depend on the voltage and temperature; suppose a = 2.2 and 0= ino (a) What is the
probabiny that a specimen's lifetime is at most 2507 Less than 2507 More than 300 ? (Round
your answers to five decimal places.) at most 250 less than 250 mare than 300 (b) What is the
probability that a specimen's lifetime is between 100 and 250 ) (hound your answar to four
docimal places.) (c) What value (in hr) is such that exactly 50% of all secimens have lifetimes
cxceediog that value? (Round your answer to three decimat places.
The lifetime X (in hundreds of hours) of a certain type of vacuum tybe has a Weibul distribution
with parametees a =2 and = 3 , Compute the folloniog. (Reund your answers to throe decimal
places: (a)E(x)E(x)=V(x)=(a)E(x)andv(x) (b) P(x4) (c) P(1,5x4)x