Question: The President of Bright-Light Candles estimates that the average "burning time" (lifespan) of their medium-K candles is 40 hours. The firm tested a very large number of their candles in determining the average lifespan and found that a candle burned out at random points in time after it had been lit. One candle burning out at any time during the test had no effect on the probability that some other candle burned out at any point in time. Of course, no candle can burn out more than once.

What is the probability that a medium-K candle will burn less than 50 hours?

a) Define the random variable for this question.

Let X =

b) Explain exactly how X is distributed.

c) What is the probability that a medium-K candle will burn less than 50 hours?