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 \(\mu_{X}\) and \(\sigma_{X}^{2}\).

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NX 0 1 0.3 P(x) 0.2 0.2 P(x) 0.1 0.3 0.3 P(x) 0.1 0.2 0.4 2 3 0.1 0.2 0.2 4 0.1 0.2 0.1