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  1. Jnu sss 2018 question no 21 , 22 ,23
    A random variable X has the following probability density function:
    f(X) = e^-x for 01) is equal to
    a. 1/e
    B. 1- 1/e
    C. e ^-2
    D. None of the above

    22. The probability (1<X<2) is equal to
    A. 1/e
    B. 1- 1/e
    C. (1/e)×(1- 1/e)
    D. None of the above

    22. The mean of X is equal to
    A. 1/e
    B. 1
    D. None of the above

  2. In ques.20 of the previous quiz, if we solve the question mathematically using Lagrangian multiplier, we'll just get the solution in which P=10 and Q=20. How will we reach the final solution without using the graphical method in this case?

    You are an analyst for a metropolitan transportation authority. You are asked if it would
    improve efficiency to buy more buses, and if so, how many more should be bought. The
    operating cost of a bus is 30 during the day and 60 during the night, when higher wages
    must be paid to drivers and other workers. The daily capital cost of a bus, whether or not
    it is used, is 10. The demand for buses aggregated over persons and stops during the 12
    hours of day and night, respectively D and N, are
    Qd = 160 − Pd
    Qn = 80− Pn

    1. Hi, please post your doubts/queries in the old or new forum.

  4. If random variable X has probability density function given by
    f (x) e^-x if x >0
    = 0 Otherwise
    Find P [2x + 3 = 5]

  5. How do you find rank of a matrix. Pls explain through an example of 4*4 matrix.

  6. A hospital determines that N, the number of patients in
    a week, is a random variable with Pr[N = n] = 2−n−1
    where n ≥ 0. The hospital also determines that the number of patients in a given week is independent of the number of patients in any other week. The probability that
    there are exactly seven patients during a two-week period
    (a) 1/2
    (b) 1/64
    (c) 1/128
    (d) 1/256

  7. Suppose a competitive firm produces 100 units of x for price of rs. 10 a unit. The firm is employing labor and capital such that the marginal physical product of labour and capital is 20 and 5 and the prices paid to labour and capital are rs. 60 and rs. 40. How would you characterize the firm?
    A. The firm is in long run eqm
    B.the firm is earning extra profits
    C. The firm should expand production
    D. The firm should contract production

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