Solve the below:
Q: An electron emitter produces electron beams with changing kinetic energy that is uniformly distributed between three and seven joules. Suppose that it is possible to adjust the upper limit of the kinetic energy (currently set to seven joules)
(a) What is the mean kinetic energy?
(b) What is the variance of the kinetic energy?
(c) What is the probability that an electron beam has a kinetic energy of exactly 3.2 joules?
(d) What should be the upper limit so that the mean kinetic energy increases to eight joules?
(e) What should be the upper limit so that the variance of kinetic energy decreases to 0.75 joules?