DLP Projectors Are Used in the Majority of Cinema Projection

DLP projectors are used in the majority of cinema projection systems and require a special light bulb to display a picture. Assume that the average life of a DLP bulb is 2,000 hours and that this failure time follows the exponential distribution. What is the probability that a randomly selected bulb will last more than 2,500 hours?

A) 0.2031
B) 0.2865
C) 0.1365
D) 0.4492