Problem 8-32 You are conducting a reliability analysis for a new product. Based on prior testing with a similar product, you believe the Weibull failure-time distribution, with parameter lambda=.200 per year, applies. But you have no basis for establishing beta. Compute at a time span of 5 years (1) the failure rate and (2) the survival probability assuming that

(a) beta=0.1
failure rate=
survival probability=

(b) beta=1
failure rate=
survival probability=

(c) beta=1.9
failure rate=
survival probability=

(d) beta=2.2
failure rate=
survival probability=

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

a

step-by-step explanation: