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If a, b and c are three positive real numbers, show that `a^2 + b^2 + c^2 ge ab + bc + ca`

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UNITED BOOK HOUSE-Question Paper 2014-Exercise
  1. Write true or false: "Index number is unit free number".

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  2. Find the arithmetic mean of first n odd positive integers.

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  3. Find the harmonic mean of 1, 1/2. 1/3,………..1/n

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  4. If the standard deviation of the set of numbers 1,2,3,……….k is 2, then...

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  5. What are the limitations of the classical definition of probability?

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  6. If P(A) = 1/2, P(B) = 1/3 and P(A^C nn B^C) = 5/12 find P(A/B).

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  7. If P(A uu B) = 7/12 and P(A) = 1/3 for two independent events A and B,...

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  8. What are the differences between primary data and secondary data?

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  9. If a variable be such that np observations are all equal to 1 and the ...

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  10. Write any three measures of skewness of a distribution.

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  11. If a, b and c are three positive real numbers, show that a^2 + b^2 + c...

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  12. What do you mean by interpolation? State Newton's backward interpolati...

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  13. Find the polynomial function f(x) of degree 3 for which it is known th...

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  14. For three event A1, A2 and A3 state and prove Bonferroni's inequality.

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  15. If an integer X is randomly selected from the first 50 positive intege...

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  16. The probability of' the solving a problems in mathematics of three stu...

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  17. Examine whetehr Fisher's index satisfies both the time reversal and fa...

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  18. Show that crude death rate can be expressed as weighted arithmetic mea...

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  19. For any two events A1 and A2, prove that P(A1 nn A2) le min{PA1),P(A2)...

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  20. Two coins A and B have probabilities of head 1/4 and 3/4 in a single t...

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