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A random variable Z, which is the number of Computer Labs skipped during the semester, has the following distribution:
Z: 0 1 2 3
f(Z) 5k 2k 2k 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?
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