The time until а screen is crаcked оn а smart phоne is a randоm distribution with mean μ = 500 hours of use. Denote the time by X, and the process is a Poisson process. Show all work.!!! I. Derive the CDF of this random variable X. II. Calculate the probability that the screen will not crack for at least 650 hours. (Show your final work to the camera for about 5 seconds before uploading.)