Let X be the random variable with PMF: p(x) = k(|x - 2| + 1), for x= -2, -1, 0, 1, 2 0, elsewhere (a) Find the value of k (b) Find the PMF of X (c) Find the mean, variance, and the standard deviation of X
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Step 1: Now that we have found the value of k to be 1/15, we can write the PMF of X as follows: \[ p(x) = \frac{1}{15}(|x - 2| + 1) \text{ for } x = -2, -1, 0, 1, 2 \text{ and } 0 \text{ elsewhere} \] Show more…
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