The LCD screen on a popular smartphone has the following operating life characteristic 

where outcomes, x, of the random variable X measure the operating life of the screen, measured in 100,000 hour increments, until failure of the screen. The engineers in your company tell you that

(a) Define an appropriate probability model for the experiment of observing the operating life of the screen until the point of failure.

(b) Does the probability model that you defined in (a) adhere to the operating life characteristic that was indicated above? Why or why not?

(c) What is the probability that the screen will fail in 1 year if the screen were operating 24 hours/day?

(d) The anticipated useful life of the smartphone itself is five calendar years. If the screen is used for 4 hours per day, what is the probability that the screen will not fail during the useful life of the smartphone?

Transcribed Image Text:

P(x>s+tx>s) < P(x>t) Vs and t >0