Time to failune is an important measure of Quality in a particular 806 assembly. Your mono facturing firm purchases sub assembles frome two different producers. company A and company B.

a. - Failures of the Sub assembly produced by Company A follow a poisson distribotion with rate 0.05 failures/month. What is the probabil: that a Sub assembly produeed by compay A fails in the first two months?

b. - Time to failure of the o sub assembly prodveed by company B follows a uniform distribution. between 0.5 and 12.5 months. What is the probability that a subassenbly prodoced by Company B fails in the first two months.?

c. - your firm purchases a third of it's sub assem blies from company A and the rest from company B and they get randomly mired together in the inventory facility. What is the probability that a yandomly drawn Sub assembly fails in the first two months.?