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If P(A) = 1/2, P(B) = 2/3 then prove tha...

If P(A) = 1/2, P(B) = 2/3 then prove that `1/6 le P(A nn B) le 1/2`

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UNITED BOOK HOUSE-Hare School, Question Paper -Exercise
  1. Find the arithmetic mean and median for first n natural numbers.

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  2. Find the AM of 5, 55, 555,…………….upto n times.

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  3. If P(A) = 1/2, P(B) = 2/3 then prove that 1/6 le P(A nn B) le 1/2

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  4. If 9 biscuits of different types be distributed among 3 children, find...

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  5. Show that overset(n)underset(i=1)sum (xi - A)^2 is minimum when A = ba...

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  6. If y = (x-a)/b, then prove that Sy = frac(Sx)(|b|)

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  7. Prove that P(A uu B) = P(A) + P(B) - P(A nn B)

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  8. The variance of 1, 2,…………..n is 24. Find n.

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  9. For 10 values of X, it is given that sumu = 4 and sum u^2 = 144, where...

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  10. Two groups of 15 and 22 values have variances 9 and 16 respectively. I...

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  11. For a set of an positive quantities prove that AM ge GM ge HM.

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

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  13. Let x be a variable assuming the values 1, 2,……….k and let F1 = n, F2,...

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  14. |x-2| le 6 implies that

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  15. When it comes to comparing different segments among themselves and als...

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  16. Mode of a distribution can be obtained from

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  17. Frequency curve is the limiting form of

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  18. If the AM and HM of two numbers are 16 and 4 respectively, then the GM...

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  19. If the median and mode for a moderate asymmetrical distribution are 8 ...

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  20. If 2x + 3y = 6 and S.D. of X = 6, the S.D. of y is -

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