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If x, y, z are positive quantities, prov...

If x, y, z are positive quantities, prove that `frac(x^3 + y^3)(x + y) + frac(y^3 + z^3)(y + z) + frac(z^3 + x^3)(z + x) ge xy + yz + zx`

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UNITED BOOK HOUSE-Model Test Set - 8-Exercise
  1. 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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  2. The probability of occurance of at least one of two events A and B is ...

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  3. What are skewness and kurtosis?

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  4. What is coefficient of variation? State its uses.

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  5. Discuss about different sources of data on vital events.

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  6. If x, y, z are positive quantities, prove that frac(x^3 + y^3)(x + y) ...

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  7. Prove that there are no integers x, y such that x + y = 200 and greate...

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  8. What do you mean by smog?

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  9. If n is an odd integer, Prove that 16 is a divisor of n^4 + 4n^2 + 11.

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  10. Write the classical definition of probability and state its limitation...

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  11. Prove that, if A1 and A2 are two events, which are not necessarily mut...

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  12. Find the probability that a leap year selected at random will contain ...

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  13. Show that criide death rate can be expressed as weighted arithmetic me...

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  14. Explain how would construct a cost of living index number (C.L.I)?

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  15. In a frequency table, the upper boundary of each class-interval has a ...

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  16. Write short note on FAO

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  17. A letter is taken at random from the letters of the word STATISTICS an...

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  18. If the letters of the word PROBABILITY are arranged at random, what is...

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  19. Give a comparative study of the structures of diamond and graphite. Ex...

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  20. Which colligative property is most suitable for the determination of m...

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