A light bulb is warranted to last for 3,000 hours.

a) What probability distribution would you recommend to model the time to failure?

b) If the true mean of time to failure is 2,750, what is the probability that the bulb will last at least 3,000 hours?

I'm thinking its poisson distribution that I have to use but I did the formula and got a wack answer. Any help would be appreciated.