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MCQMediumJEE Main 2025 · 3 April, Shift 2Probability Distributions

Mathematics Question from JEE Main 2025 · 3 April, Shift 2

If the probability that the random variable XX takes the value xx is given by P(X=x)=k(x+1)3−xP(X = x) = k(x + 1)3^{-x}, x=0,1,2,3,…x = 0, 1, 2, 3, \dots, where kk is a constant, then P(X≥3)P(X \ge 3) is equal to

  • A

    727\frac{7}{27}

  • B

    49\frac{4}{9}

  • C

    827\frac{8}{27}

  • D

    19\frac{1}{9}

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