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Mathematics Test - 29
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  • Question 1/10
    5 / -1
    Which among the following is the standard deviation of Binomial distribution?
  • Question 2/10
    5 / -1
    Find the mean of the Binomial distribution if n = 10, p = 4/5, q = 1/5
  • Question 3/10
    5 / -1

    Find the expected value of a random variable which has the following probability distribution?

    X:246810
    P:0.10.30.40.10.1
  • Question 4/10
    5 / -1

    The values of c for which the function f(x) is a p.d.f. is?

    \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{c}{{\sqrt x }},}&{0 < x < 4}\\ {0,}&{otherwise} \end{array}} \right.\)

  • Question 5/10
    5 / -1
    A fair six-sided die is rolled, with X being the number on the uppermost face. The expectation of X is:
  • Question 6/10
    5 / -1
    Let the random variables X follow B (6, p) If \(16{\rm{\;P\;}}\left( {{\rm{X}} = 4} \right) = {\rm{P\;}}\left( {{\rm{X}} = 2} \right)\), then what is the value of p
  • Question 7/10
    5 / -1
    In an examination, the probability of a candidate solving a question is 1/2. out of given 5 questions in the examination, what is the probability that the candidate was able to solve at least 2 questions?
  • Question 8/10
    5 / -1

    The random variable X has a probability density function as given by

    \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {3{x^2},\;\;0 \le x \le 1}\\ {0,\;\;otherwise} \end{array}} \right.\)

    The value E(X2) will be?
  • Question 9/10
    5 / -1
    If x is a random variable with the expected value of 5 and the variance of 1, then the expected value of x2 is
  • Question 10/10
    5 / -1
    The mean and the variance in a binomial distribution are found to be 2 and 1 respectively. The probability P(X = 0) is
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