1- You are observing the speeds of two CPUs, to find which one is expected to run faster. After a number of observations, you came up with the following results: Number of Observations 40 35 30 25 CPU Speed Measurements 26 37 31 38 CPU 1 10 10 ■CPU 2 20 18 15 15 10 8. 5 0 2.0-2.4 2.5-2.9 3.0-3.4 3.5-3.9 4.0-4.5 Speed (GHz) A. Using this data, calculate the expected speed of each processor, and determine which of the two is faster. (Hint: when given a range of speeds, you can consider the average value within that range to be the speed at which the observations occurred). B. You studied a third CPU and found that its speed is a continuous random variable that follows a normal distribution, with a mean value of 3.6 GHz and a standard deviation of 0.8 GHz. Find the probability that the third CPU would run faster than the expected speed of CPU1. C. A company is developing a new CPU, and they sent you a unit so you can test it. This CPU is still in development; therefore, it is not stable and can cause some errors when running. If the probability that this CPU causes an error when doing one operation is 1%, find the probability that the CPU would run a full program, which contains 80 operations without producing any errors. 2- You are designing a connection mechanism between two programs, sending packets of data over the internet. You are trying to choose a size for the packets to be sent, depending on the capacity of the channel (channel bandwidth). For example, if a channel has a capacity of 10KB, then you can choose a packet size of 10KB, and send one packet, or choose a packet size of 5KB and send two packets... Etc. The problem you face is that the two programs are at two different locations, with two different channel capacities. If the first channel had a capacity of 3201KB, and the second channel had a capacity of 4565KB, find the maximum packet size that is suitable for both channels.