Following is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. 2 P(x) 0.04 0.14 0.46 0.21 0.15 X 0 1 3 4 (a) Find the probability that a student participates in exactly two activities. The probability that a student participates in exactly two activities is

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A: xP(x)001020304050.000260.001970.011180.046490.138100.2771110.3372120.188

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A: The mean is, E(x)=Σx*p(x)     =1*410+2*510+3*110    =1710    =1.7

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