The life span of the lightbulbs manufactured by a certain company is measured by a random variable X with probability density function

where x denotes the life span (in hours) of a randomly selected bulb.

a. What is the probability that the life span of a randomly selected bulb is between 50 and 60 hours?

b. What is the probability that the life span of a randomly selected bulb is no greater than 60 hours?

c. What is the probability that the life span of a randomly selected bulb is greater than 60 hours?

d. What is the expected life span of a randomly selected bulb?

Transcribed Image Text:

[0.01e f(x) = lo -0.01.x if x ≥ 0 if x < 0