Calculate the variance and standard deviation of z

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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?

Reference no: EM1396320

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