Three electron emitters produce electron beams with changing kinetic energies that are uniformly distributed in the ranges [3, 7], [2,5], and [4, 10]. Let Y denote the total kinetic energy produced by these electron emitters.

(a) Suppose that the three beam energies are independent. Determine the mean and variance of Y .

(b) Suppose that the covariance between any two beam energies is ◊◊◊◊. Determine the mean and variance of Y .

(c) Compare and comment on the results in parts (a) and (b).

Statistics: Chapter 3.1 1. Mean: average of a set of numbers a. (sum of all data values) / (number of values) b. Mean = (Σx) / (n) i. Let x be a quantitative variable with n measured data value from a population of n. c. Example: i. 10, 15, 20, 25….625 ii. (n+1) / 2 iii. “n”...