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If x > 0, y >0, z > 0 and x +y + z = 1, ...

If `x > 0, y >0, z > 0` and `x +y + z = 1`, prove that `(1+x)(1+y)(1+z)ge 8(1-x) (1-y) (1-z)`

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UNITED BOOK HOUSE-Model Test Set-2-Exercise
  1. If the A.M. and S.D. at n observation x1, x2,………….xn be barx and s res...

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  2. n persons are seated on n chairs at a round table. Find the probabilit...

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  3. State the statistical definition of probability.

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  4. Describe Ratio chart.

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  5. Find the standard deviation of the values a,a+b,a+2b,a+3b,...,a+2nb(b>...

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  6. If the values of a variable be increased by 10, show the effect on ari...

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  7. If Y = a + bx, a, b be two real constants, then prove that Range (y) =...

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  8. Prove that /\ log f(x) = log[1+(/\ f(x))/(f(x) ].

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  9. Find /\^2(e^(ax+b)), taking the interval of differencing as 1.

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  10. Find the relation between a and b so that (2x^4 - 7x^3 + ax + b) may b...

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  11. If x > 0, y >0, z > 0 and x +y + z = 1, prove that (1+x)(1+y)(1+z)ge 8...

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  12. If P(A) = 1/2, P(B) = 1/3, and P(A^c cap B^c) = 5/12, find P(AIB) and...

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  13. What is the probability that a number selected at random from, 1, 2, 3...

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  14. In a throw of two unbiased dice, a boy gets a total of 5. Find the pro...

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  15. Write down the merits and demerits of mass questionnaire method.

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  16. State how different measures of Central tendency are affected when all...

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  17. State how different measures of Central tendency are affected when all...

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

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  19. Two groups of students are arranging an picnic near a lake.The probabi...

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  20. Give the forniula of Fisher’s index number ?

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