2. The discrete random variable X has the probability function P(X=x)= ) (1)/(4)&x=1,2,3 0& otherwise P(1leqslant Xleqslant 2) is equal to __ A. (1)/(4) D. B. 0 (1)/(2) C. (1)/(8)

The probability function is given by:P(X = x) = 1/4 for x = 1, 2, 3P(X = x) = 0 otherwiseWe want to find P(1 ≤ X ≤ 2). This means we want the probability that X is either 1 or 2. Since the events are mutually exclusive (X cannot be both 1 and 2 simultaneously), we can add the probabilities:P(1 ≤ X ≤ 2) = P(X = 1) + P(X = 2) = 1/4 + 1/4 = 2/4 = 1/2Therefore, the correct answer is **B. 1/2**