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Math Help - probability distribution

  1. #1
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    probability distribution

    Q:1 A discrete random variable x can assume five possible values: 2, 3, 5, 8 and 10. Its probability distribution is shown here:

    x= 2, 3, 5, 8 , 10.
    p(x)=0.15, 0.10, --- 0.25, 0.25




    1.What is p(5)?
    2.What is the probability that x equals 2 or 10?
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  2. #2
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    Quote Originally Posted by nisoo-1 View Post
    Q:1 A discrete random variable x can assume five possible values: 2, 3, 5, 8 and 10. Its probability distribution is shown here:

    x= 2, 3, 5, 8 , 10.
    p(x)=0.15, 0.10, --- 0.25, 0.25





    1.What is p(5)?
    2.What is the probability that x equals 2 or 10?
    1. As \sum_{i=1}^N p(x_i) = 1 where the summation is over all the posible cases.

    The given values of p(x_i) sum to 0.75, so the missing value id 0.25

    2. P(x=2 \mbox{ or }x=10)=P(x=2) + P(x=10) = 0.15+0.25 = 0.4.

    RonL
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  3. #3
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    Probability Distribution

    Dear Sir,
    which formula will be use to calculate this question?
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  4. #4
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    Quote Originally Posted by nisoo-1 View Post
    Dear Sir,
    which formula will be use to calculate this question?
    There is no formula to calculate these, what you need is to understand the
    concepts:

    A. The sum of the probabilities of all the possible simple outcomes (a simple
    outcome here means an element of the sample space) is 1.

    B. The probability of one of a number of distinct simple outcomes occurring
    is the sum of the probabilities of the individual simple outcomes.

    RonL
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