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P(X = x) = 5Cx / 2^5: compare P(X <= 2) and P(X >= 3)

The same question, asked 2 times: 11 May 2023 S1, 11 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    11 May 2023 S1

    109
    The p.m.f. of a random variable X is given by P[X=x]=(5x)125P[X=x] = \binom{5}{x}\frac{1}{2^5} if x=0,1,2,3,4,5x = 0,1,2,3,4,5; 0 otherwise. Then which of the following is not correct?

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  2. Question 2

    11 Apr 2026 S2

    99
    The probability mass function of a random variable X is given by P(X=x)=5Cx25P(X = x) = \dfrac{{}^5C_x}{2^5}, for x=0,1,2,3,4,5x = 0, 1, 2, 3, 4, 5 and =0= 0, otherwise. Then which of the following is correct?

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