Instructor Dr Adel Elomi Quis3 Time 15 minuste November9 201

Instructor: Dr. Adel Elomi Quis3 (Time: 15 minuste) November,9 2015 The Probability Mass Eunction.. for the random variable X-(0.1,23) representing the mer of daily failures is given as follows ) represeming tive mlbur of daihy comper\" 1-What is the value of the constant ) (Oustify your answer) (2pts) 2-Calculate the expected value of XE[x)(.5pts) 3-Calculate the variance of X. VEX] (1.5pts) 4-Determine the Cumulative Distribution Function of X EO) (in the form of plecewise function (per interval)12 pts) 5-Use the CDF function E found in question (4) to determine the following: a- Probability that at most four failures are observed (1.5pts) b- Probability that more than 1.5 failures are observed (1.5pts)

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