Question

Q2. Describe the solution of time to failure in hours of an important piece of electronic equipment used in manufactured DVD player has density function.
H=7

F(x)= 1/1000(H+1)*exp (-x/1000(H+1) X > 0
0 , X < 0

(A) find F(x)
(B) Determine the probability that the component (and thus DVD player)lasts more than 1000 hours before the component needs to be replaced
(C) Determine the probability that the component fails before 2000 hours.

Answer 1

The PDF of the failure time is

For ,

a) The CDF is

b) The probability that the component (and thus DVD player)lasts more than 1000 hours is

c) The probability that the component fails before 2000 hours is