Question: In this problem, we will analyze discrete probability distributions. First consider the following probability distribution for the total number of devices that connect to

In this problem, we will analyze discrete probability distributions. First consider the

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. XHNM P(X) 6% 9617 456 57% h--, 10% 95% 968 768 55 496 17 %E 18 3% 25% 2% Generate plots of the PDF and CDF for this distribution. Calculate the following 0 The expectation and the variance of the number of devices. The probability that a customer has 10 or fewer devices connecting. The probability that a customer has 14 or more devices connecting. The 50th 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. 0 The probability a customer transfers more than 18 GB for 3 days in a row. The 90th percentile of the daily transfer amount.

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