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If P(A) = a and P(B) = b, then show that...

If P(A) = a and P(B) = b, then show that `P(A/B) le a/b`.

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If P(A)=a and P(B)=b, Show that P(A/B) lea/b .

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If A and B are two events such that P(A) = P(B) = 1, then show that , P(A+B) = 1, P(AB) = 1

If A and B are two events such that P(A) = (1)/(2) and P(B) = (2)/(3) , then show that (a) P(Auu B) ge (2)/(3) (b) (1)/(6) le P(A nn B) le (1)/(2) (c ) P(A nn barB) le (1)/(3) (d) (1)/(6) le P(barAnn B) le (1)/(2)

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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-Question Paper 2018-Exercise
  1. Define simple aggregative price index.

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  2. Define crude rate of Natural increase.

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  3. Find the arithmetic mean of first n event natural numbers.

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

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  5. Show that m4 ge m2^2.

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  6. State classical definition of probability.

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  7. If P(A) = a and P(B) = b, then show that P(A/B) le a/b.

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  8. Cards are drawn randomly without replacing from a full pack of 52 card...

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  9. What is a questionnaire in Statistics? State various characteristics o...

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  10. Find the arithmetic mean of 7, 77, 777……upto p-th term.

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  11. If a, b, c are positive, prove that (a + b + c) (ab + bc + ca) ge 9abc...

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  12. If a, b, c are positive number satisfying 4ab + 6bc + 8ca = 9, then fi...

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

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  14. If 19 biscuits of different types be distributed among 5 children, the...

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  15. If (A^C uu B^C) = 7/8 and (A^C nn B^C) = 3/8 where A and B are indepen...

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  16. If the A.M. and S.D. at n observation x1, x2,………….xn be barx and s res...

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  17. Define Pearson's 2nd measure of Skewness (SK2). Show that -3 le Sk2 le...

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  18. In a city suppose 3% of the population is known to be affected by a pa...

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  19. State and prove Bayes Theorem of probability.

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  20. Describe how you would construct a cost of living index number for the...

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