The company you work at has created a custom model for the distribution of the failure time of its best

selling product. During the company-wide Halloween party, the company servers have become damaged, causing

irreparable data loss. The model has been deemed lost by your colleagues. However, the next day you are able to

find some old notes which state the hazard function of the distribution: z(t) = t where t has units of months.

hint: recall z(t) = d ln R(t) dt

5000

a) Find the cumulative distribution function (cdf) for the given hazard function. Verify that your answer is a proper cdf.