Four buses carrying a total of 160 students from the same school arrive at a football stadium. The buses carry, respectively, 45, 20, 35, and 60 students. One of the four bus drivers is randomly selected. Let X denote the number of students that were on the randomly selected driver’s bus. (a) Determine the probability mass function of X. (b) Find the mean, E[X]. (c) Find the variance, V[X].

Q: Determine the variance of Z.

A: Helpful formulas (i)VaX=a2VX(ii)VC=0,where c is the constant(iii)VaX+ bY=a2VX+ b2VY

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