Canvas at ECU | Canvas | ECU X &Probability with Excel : 2022 Spri X PRE OMGT 6123 Exercise 2 (2).pdf X E-mail | Information | ECU X Sign out X + X -> C A @ File | C:/Users/Owner/Downloads/OMGT%206123%20Exercise%202%20(2).pdf 2 of 4 Q - + Page view | A Read aloud | (T) Add text | Draw v Highlight v Erase Problem 2 (10 points) In this problem, we will analyze discrete probability distributions. . First consider the following probability distribution for the total number of devices that connect to a home router. x P(x) 6% 4% 3 2% 4 39% 5 49% 6 496 4% 5% 8% Generate plots of the PDF and CDF for this distribution. . . Calculate the following The expectation and the variance of the number of devices. The probability that a customer has 10 or fewer devices connecting. o The probability that a customer has 14 or more devices connecting. o The 50" percentile of the distribution. Now assume that the amount of data transferred per day is normally distributed with a mean of 15 GB and a standard deviation of 5 GB. Assume the data transferred each day is independent of other days. Calculate the following The probability a customer transfers more than 18 GB in a day. The probability a customer transfers more than 18 GB for 3 days in a row. The 90" percentile of the daily transfer amount. O W X 12:21 PM 2/25/2022