Question:
A random variable Z, which is the number of Computer Labs in EconS 311 skipped during the semester, has the following distribution: Z f(Z) 0 5k 1 2k 2 2k 3 k
(a) What does the constant k have to be equal to for this to be a distribution function? Why?
(b) Find the Prob(Z=0); Prob(Z=3); and Prob(0 < Z <3).
(c) Calculate the expected value of Z.
(d) Calculate the variance and standard deviation of Z?