We have, P(X=0)=21,P(X=j)=3j1(j=1,2,3,…,∞)Mean =ΣXiPi=r=0∑∞r⋅3r1=43
P(X is even) =321+341+…∞
=1−9191
=9891=81.
Let X be a random variable such that the probability function of a distribution is given by P(X=0)=21,P(X=j)=3j1(j=1,2,3,…,∞). Then the mean of the distribution and P(X is positive and even) respectively, are:
Held on 25 Jul 2021 · Verified 6 Jul 2026.
83 and 81
43 and 81
43 and 91
43 and 161
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