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  • Question 1
    1 / -0

    Three students A, B and C are in a swimming race. A and B have the same probability of winning and each is twice as likely to win as C. Find the probability that B or C wins.

  • Question 2
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    An insurance company floats an insurance policy for an eventually taking place with probability 0.05 over the period of policy. If the sum insured is Rs. 100000 then what should be the premium so that the expected earning of the insurance company is Rs. 1000 per policy sold?

  • Question 3
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    There are 4 races, A player has a 60% chance of winning each race. Assuming that all races are independent of each other. The probability that a player will win the majority of races is ____. [Upto 3 decimal places].

  • Question 4
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    A Discrete Random Variable x has the probability distribution as shown:

    x

    -6

    4

    6

    P(X = x)

    \(\frac{1}{6}\)

    \(\frac{1}{2}\)

    \(\frac{1}{3}\)

     

    The standard deviation of x is –

  • Question 5
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    Let X and Y be the time (in hours) taken by Saurabh and Sachin to solve a problem. Suppose that each of X and y are uniformly distributed over the interval [0, 1]. Assume that Saurabh and Sachin start to solve the problem independently. Then, the probability that the problem will be solved in less than 20 minutes is 

  • Question 6
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    There are two identical locks, with two identical keys and the keys are among the six different ones which a person carries in his pocket. In a hurry he drops one key somewhere. Then the probability that locks can still be opened by drawing one key at random is equal to

  • Question 7
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    Questions are asked to Girish in quiz competition one by one until be fails to answer correctly. The probability of his answering correctly a question is P. The probability that he will quit after answering on odd number of questions is 0.9. The value of P is

  • Question 8
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    Suppose there is a disease, whose average incidence is 2 per million people. What is the probability that a city of 1 million people has at least twice the average incidence? (Assume Poisson distribution parameter is 2)

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