Let X represent the number of tires with low air pressure on a randomly chosen car.

a. Which of the three functions below is a possible probability mass function of X? Explain.







b. For the possible probability mass function, compute and .


(a) is the only probability mass function, because it is the only one whose probabilities sum to 1.



(b) = 0(0.1) + 1(0.2) + 2(0.4) + 3(0.2) + 4(0.1) = 2.0,

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