Please remember to prove normality for every problem!! 1. Suppose that the average internet download speed for AT&T is 1.33 Mbps with a standard deviation of 1.13 Mbps. (Note: I know that these are...

Extracted text: Please remember to prove normality for every problem!! 1. Suppose that the average internet download speed for AT&T is 1.33 Mbps with a standard deviation of 1.13 Mbps. (Note: I know that these are very poor internet download speeds, but this was Ms. Sutter's reality before she switched internet companies.) a) Find the probability that, in a sample of 45 AT&T customers, the average internet download speed is no more than 2 Mbps. b) Find the probability that, in a sample of 20 AT&T customers, the average internet download speed is less than 1.6 Mbps. c) Find the probability that an AT&T customer has an internet download speed of more than 2.4 Mbps. Assume that the data is normally distributed.