Discrete probability distributions

Discrete probability distributions Quiz

Spec 4.1 · Edexcel A-Level Maths: Quiz

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  1. 1. P(X=x)=x15P(X=x)=\frac{x}{15} for x=1,…,5x=1,\dots,5. Which statement is true?

    • A. It is not a valid distribution
    • B. It is a valid distribution
    • C. It is discrete uniform
    • D. The probabilities sum to 13\frac{1}{3}

  2. 2. P(X=0)=0.3P(X=0)=0.3, P(X=1)=pP(X=1)=p, P(X=2)=0.5P(X=2)=0.5. Find pp.

    • A. 0.80.8
    • B. 0.50.5
    • C. 0.30.3
    • D. 0.20.2

  3. 3. A fair 10-sided die has faces 1 to 10. Find P(X≥8)P(X\ge8).

    • A. 310\frac{3}{10}
    • B. 810\frac{8}{10}
    • C. 710\frac{7}{10}
    • D. 110\frac{1}{10}

  4. 4. P(Y=1)=0.4P(Y=1)=0.4, P(Y=2)=0.6P(Y=2)=0.6. Two independent values are observed. Find P(Y1+Y2=3)P(Y_1+Y_2=3).

    • A. 0.240.24
    • B. 0.50.5
    • C. 0.40.4
    • D. 0.480.48

  5. 5. For a discrete uniform distribution on 20 values, what is each probability?

    • A. 110\frac{1}{10}
    • B. 120\frac{1}{20}
    • C. 2020
    • D. 12\frac{1}{2}

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