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Probability Tes...

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  • Question 1
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    In a series of 2 n observations, half of them equal ‘a ’and remaining half equal –a. If the standard deviation of the observations is 2, then | a | equals ……​

  • Question 2
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    Let X be a random variable whose possible values x1 , x2 , x3 , …, xn  occur with probabilities p1 , p2 , p3 ,…, pn , respectively. The mean of X, denoted by

  • Question 3
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    The number of adults living in homes on a randomly selected city block is described by the following probability distribution.

    What is the probability that 4 or more adults reside at a randomly selected home?​

  • Question 4
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    Two dice are thrown simultaneously. If X denotes the number of sixes, then the expectation of X is:​

  • Question 5
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    Let X be a random variable whose possible values x1 , x2 , x3 , …, xn  occur with probabilities p1 , p2 , p3 ,…, pn , respectively. Also, μbe the mean of X. The variance of X, denoted by Var (X) is defined as  

  • Question 6
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    The variance of the number obtained on a throw of an unbiased dice is:​

  • Question 7
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    The mean number of tails in three tosses of a fair coin is:​

  • Question 8
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    A class has 10 students whose ages are 15, 14, 16, 17, 19, 20, 16, 18, 20, and 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. The standard deviation of X is:​

  • Question 9
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    Let X be a random variable whose possible values x1 , x2 , x3 , …, xn  occur with probabilities p1 , p2 , p3 ,…, pn , respectively. Also, E(X) is the expectation of X, then  ​E(X2 ) - [E(X)]2  is known as

  • Question 10
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    In a meeting, 60% of the members favour and 40% oppose a certain proposal. A member is selected at random and we take X = 0 if he opposed, and X = 1 if he is in favour. Find E(X) and Var(X).​

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