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Define probability

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Knowledge Check

  • A sample space consists of 4 elements S=(alpha_(1), alpha_(2), alpha_(3), alpha_(4)) Which defines a probability function on S (where" "alpha_(i)capalpha_(j)nephi" "AA" "i nejand cupalpha_(i)=S)

    A
    `P(alpha_(1))=1/2,P(alpha_(2))=1/3,P(alpha_(3))=1/4,P(alpha_(4))=1/5`
    B
    `P(alpha_(1))=1/2,P(alpha_(2))=1/4,P(alpha_(3))=-1/4,P(alpha_(4))=1/2`
    C
    `P(alpha_(1))=1/2,P(alpha_(2))=1/4,P(alpha_(3))=1/8,P(alpha_(4))=1/8`
    D
    `P(alpha_(1))=1/2,P(alpha_(2))=1/4,P(alpha_(3))=1/8,P(alpha_(4))=0`
  • A coin is tossed twice. If events A and B are defined as: A = head on first toss, B =head on second toss. Then the probability of A nn B =

    A
    `(1)/(4)`
    B
    `(1)/(2)`
    C
    `(1)/(8)`
    D
    `(3)/(4)`
  • If the probability function of a random variable X is defined by P(X=k) = a((k+1)/(2^k)) for k= 0,1,2,3,4,5 then the probability that X takes a prime value is

    A
    `13/20`
    B
    `23/60`
    C
    `11/20`
    D
    `19/60`
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