Three electron emitters produce electron beams with changing kinetic energies that are uniformly…

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 -0.5. Determine the mean and variance of Y .(c) Compare and comment on the results in parts (a) and (b).