The Long Term Evolution (LTE) standard for wireless communication has a goal of achieving 100 megabits per second (Mbps) data transfer rates between user and target application. That is a lofty goal, oven for peak performance. In addition, the connection speed can vary due to the overall communication traffic in the area. Define random variable X as the data transfer rate that a phone experiences. Assoc is uniformly distributed on the interva14.25 to 8.75 Mbps.

i. Determine the mean data transfer rate and the standard deviation for X.

ii. Determine the probability that the data transfer rate is less than 5.5 Mbps at any given time.

iii. Determine the probability that the data transfer rate is between 6.0 and 7.5 Mbps at any given time.