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12th Standard English Medium Maths Subject Probability Distributions Book Back 1 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 5

    1 Marks

    5 x 1 = 5
  1. Suppose that X takes on one of the values 0, 1, and 2. If for some constant k, \(P(X=i)=k P(X=i-1) \text { for } i=1,2 \text { and } P(X=0)=\frac{1}{7}\) , then the value of k is

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

  2. The probability mass function of a random variable is defined as:

    x -2 -1 0 1 2
    f(x) k 2k 3k 4k 5k

    Then E(X ) is equal to: 

    (a)

    \(\frac { 1 }{ 15 } \)

    (b)

    \(\frac { 1 }{ 10 } \)

    (c)

    \(\frac { 1 }{ 3 } \)

    (d)

    \(\frac { 2 }{ 3 } \)

  3. Let X have a Bernoulli distribution with mean 0.4, then the variance of (2X - 3) is

    (a)

    0.24

    (b)

    0.48

    (c)

    0.6

    (d)

    0.96

  4. If in 6 trials, X is a binomial variable which follows the relation 9P(X = 4) = P(X = 2), then the probability of success is

    (a)

    0.125

    (b)

    0.25

    (c)

    0.375

    (d)

    0.75

  5. A computer salesperson knows from his past experience that he sells computers to one in every twenty customers who enter the showroom. What is the probability that he will sell a computer to exactly two of the next three customers?

    (a)

    \(\frac { 57 }{ { 20 }^{ 3 } } \)

    (b)

    \(\frac { 57 }{ { 20 }^{ 2 } } \)

    (c)

    \(\frac { { 19 }^{ 3 } }{ { 20 }^{ 3 } } \)

    (d)

    \(\frac { 57 }{ 20 } \)

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