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If P(A^C cup B^c)=5/6, P(A) = 1/2 , P(B...

If `P(A^C cup B^c)=5/6`, `P(A) = 1/2 , P(B^C) = 2/3` are the events A and B independent?

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UNITED BOOK HOUSE-Scottish Church Collegiate School, Question Paper -Exercise
  1. Standand deviation of the 6 numbers 5, 5, 5, 7, 7, 7 is

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  2. Find the probability of getting a difference of score as 3 when two pe...

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  3. If P(A^C cup B^c)=5/6, P(A) = 1/2 , P(B^C) = 2/3 are the events A and...

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  4. Can two mutually exclusive events with positive probabilities be indep...

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  5. A variable x takes only two values x1, x2 with equal frequencies. Find...

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  6. The sum of the deviations of the values of a variable from its is zer...

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  7. For four positive values x1, x2, x3, x4 prove that AM geGM.

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  8. Prove that Mean deviation is minimum about its median.

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  9. What are the different types of heart sound. State their causes and si...

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  10. If a, b, c and x, y, z are positive, then show that (a/x + b/y + c/z) ...

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  11. State Fermat’s theorem. Also prove that /\log f(x) = log [1 +(/\ f(x))...

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  12. Find the polynomial function f(x) for which it is known that f(0) = 1,...

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  13. Prove that 1/n overset(n)underset(E1)sum |xi - A| attains, minimum whe...

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  14. If the events A^C and B^C are independent then show that A and B are i...

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  15. The probabilities of solving a problem by three students A,B,C are 3/7...

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  16. Suppose a variable assumes the values, 0, 1, 2,………….n with frequencies...

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  17. For any frequecy distribution

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  18. If the mean and variance of one set of values be barx1 and s1^2 and th...

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  19. Define imbibition State its significance.

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  20. The elements A, B and C have atomic numbers Z -2, Z and Z +1 respecive...

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