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Mean 1.3, P(X=3) = 2P(X=1), P(X=2) = 0.3: find P(X = 0)

The same question, asked 3 times: 16 May 2023 S1, 13 Apr 2026 S1, 19 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    16 May 2023 S1

    111
    A random variable X takes the values 0, 1, 2, 3 and its mean is 1.3. If P(X=3)=2P(X=1)P(X=3) = 2P(X=1) and P(X=2)=0.3P(X=2) = 0.3, then P(X=0)P(X=0) is

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  2. Question 2

    13 Apr 2026 S1

    99
    A random variable X takes the values 0, 1, 2, 3 and its mean is 1.31.3. If P(X=3)=2P(X=1)P(X = 3) = 2P(X = 1) and P(X=2)=0.3P(X = 2) = 0.3, then P(X=0)P(X = 0) is

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  3. Question 3

    19 May 2026 S1

    100
    A random variable X takes the values 0, 1, 2, 3 and its mean is 1.31.3. If P(X=3)=2P(X=1)P(X = 3) = 2P(X = 1) and P(X=2)=0.3P(X = 2) = 0.3, then P(X=0)P(X = 0) is

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