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If a, b, c are all positive, prove that `6abc le bc(b + c) + ca(c + a) + ab(a + b)`

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UNITED BOOK HOUSE-Techno India Group Academia South Kolkata, Question Paper -Exercise
  1. In a group of 20 males and 5 females, 10 males and 3 females ae servic...

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  2. If A, B, C are three independent events such that P(A) = 1/4, P(B) = 1...

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

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  4. Write down the Fisher’s Price index formula.

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  5. My friend Rabeya's father has a furniture shop in Andul.I often visit ...

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  6. If a, b, c are all positive, prove that 6abc le bc(b + c) + ca(c + a) ...

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  7. For ninN, prove that ((n+1)/2)^ngt n!

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  8. When (x^5 - 1) is divided by (2x + 1), then the remainder is

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  9. State and prove Cauchy-Schwartz inequality.

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  10. Show that if events A and B are independent, then so are A^c and B^c.

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  11. An urn contains 4 tickets having the nos. 112, 121, 211, 222. A ticket...

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  12. If a fair coin is tossed thrice find the probability that there are ...

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

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

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  15. Find the standard Deviation of 6 and 8.

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  16. The lower and the upper quartiles of a disiribution are 14.6 and 25.2 ...

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  17. The first of two urns contains 3 white and 2 black balls and 2 red bal...

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  18. The first of two urns contains 3 white and 2 black balls and 2 red bal...

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  19. If the mean square deviation of a variable x about 3 is 20 and the mea...

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  20. The scores of batsman in 10 matches were as follows : 38, 70, 48, 34, ...

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