Problem 10E

The lifetime of a certain battery is modeled with the Weibull distribution with α= 2 and =β 0.1.

a. What proportion of batteries will last longer than 10 hours?

b. What proportion of batteries will last less than 5 hours?

c. What proportion of batteries will last longer than 20 hours?

d. The hazard function is defined in Exercise 8. What is the hazard at t = 10 hours?

Solution:

Step 1 of 3:

The lifetime of a battery modeled with weibull distribution with parameters .

We have to find

- The proportion of batteries will last longer than 10 hours.
- The proportion of batteries will last less than 5 hours.
- The proportion of batteries will last longer than 20 hours.
- If the hazard function of lifetime (T) is h(t) = , then what is the hazard at t=10 hours.