a random variable z which is the number of, International Economics

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a random variable z which is the number of

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).

(d) Calculate the variance and standard deviation of Z?

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