Self Studies

Probability Tes...

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  • Question 1
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    If X denotes the sum of the numbers obtained when two fair dice are rolled, then the variance and standard deviation of X are

  • Question 2
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    If the mean and variance of a Binomial variate X are 8 and 4 respectively, then P(X < 3) equals

  • Question 3
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  • Question 4
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    If the mean and variance of a random variable X having a Binomial distribution are 4 and 2 respectively, then find the value of P(X =1).

  • Question 5
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    A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is

  • Question 6
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    Consider 5 independent Bernoulli's trials each with probability of success p. If the probability of atleast one failure is greater than or equal to 31/2, the p lies in the interval

  • Question 7
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  • Question 8
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    Two dice are thrown n times in succession. The probability of obtaining a double six atleast once is

  • Question 9
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    If X is a Binomial variate with the range {0, 1, 2, 3, 4, 5, 6} and P(X = 2) = 4P(X = 4), then the parameter p of X is

  • Question 10
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    If a fair coin is tossed 20 times and we get head n times, then probability that n is odd, is

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