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Random Variable and Mathematical Expectation One Mark Question

12th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 10
    10 x 1 = 10
  1. Value which is obtained by multiplying possible values of random variable with probability of occurrence and is equal to weighted average is called ________.

    (a)

    Discrete value

    (b)

    Weighted value

    (c)

    Expected value

    (d)

    Cumulative value

  2. Demand of products per day for three days are 21, 19, 22 units and their respective probabilities are 0.29, 0.40, 0.35. Profit per unit is 0.50 paisa then expected profits for three days are ________.

    (a)

    21, 19, 22

    (b)

    21.5, 19.5, 22.5

    (c)

    0.29, 0.40, 0.35

    (d)

    3.045, 3.8, 3.85

  3. Probability which explains x is equal to or less than particular value is classified as ________.

    (a)

    discrete probability

    (b)

    cumulative probability

    (c)

    marginal probability

    (d)

    continuous probability

  4. Given E(X)=5 and E(Y)=−2, then E(X−Y) is ________.

    (a)

    3

    (b)

    5

    (c)

    7

    (d)

    -2

  5. A variable that can assume any possible value between two points is called ________.

    (a)

    discrete random variable

    (b)

    continuous random variable

    (c)

    discrete sample space

    (d)

    random variable

  6. A formula or equation used to represent the probability distribution of a continuous random variable is called ________.

    (a)

    probability distribution

    (b)

    distribution function

    (c)

    probability density function

    (d)

    mathematical expectation

  7. If X is a discrete random variable and p(x) is the probability of X, then the expected value of this random variable is equal to ________.

    (a)

    \(\sum { f(x) } \)

    (b)

    \(\sum[x+f(x)]\)

    (c)

    \(\sum { f(x)+x } \)

    (d)

    \(\sum { xp(x) } \)

  8. Which of the following is not possible in probability distribution?

    (a)

    \(\sum { p(x)\ge 0 } \)

    (b)

    \(\sum { p(x)=1 } \)

    (c)

    \(\sum { xp(x)=2 } \)

    (d)

    \(p(x)=-0.5\)

  9. If c is a constant, then E(c) is ________.

    (a)

    0

    (b)

    1

    (c)

    c f (c)

    (d)

    c

  10. A discrete probability distribution may be represented by ________.

    (a)

    table

    (b)

    graph

    (c)

    mathematical equation

    (d)

    all of these

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