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Prove that P(A^C) = 1 - P(A)...

Prove that `P(A^C) = 1 - P(A)`

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Prove that P(A uu B) = P(A) + P(B) - P(A nn B)

If P(A//B)=1 then prove that, P(ABC)=P(BC) .

Prove that, if P(A//B)=P(A) then P(A^c//B)=P(A^c) .

Prove that, if P(A//B)=P(A) then P(A^(c )//B)=P(A^(c )) .

For any two events A and b prove that, P(A) ge P(A cap B) ge P(A) + P(B) - 1

If A and B are two events and P(B) ne 1 , prove that, P(A//B^(c ))=(P(A)-P(A cap B))/(1-P(B)) Hence, deduce that, P(A cap B) gt P(A) +P(B)-1 .

Prove that q^^~p -=~ (q to p)

For any three events A, B and C, prove that. P(A cup B cup C) = P(A) + P(B) + P( C)-P(Acap B) -P(BcapC) - P(CcapA) + P(Acap B cap C).

If barA and barB are the events complementary to the events A and B respectively, prove that, P(barA or barB)=1-P(A)P(B//A) .

UNITED BOOK HOUSE-Question Paper 2016-Exercise
  1. If arithmetic mean and coefficient of variation of a variable x are 10...

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  2. Define discrete variable and continuous variable.

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  3. Explain the meaning of ordinal data with example.

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  4. If A and B are mutually exclusive events, show that P(A/(A uu B)) = fr...

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  5. Prove that P(A^C) = 1 - P(A)

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  6. A box contains 15 balls numbered 1 to 15. Find the probability that a ...

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  7. What is mail questionnaire method? When this method is useful?

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  8. Write down the different steps for drawing Ogive.

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  9. Suppose a variable x takes only two values x1 and x2 with frequencies ...

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  10. What is interpolation? Explain Delta operator?

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  11. Find Delta(Delta(ax^2 + bx + c)), (a ne 0).

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  12. Explain the concepts of pairwise independence and mutual independence ...

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  13. A1, A2……….An are n independent events such that P(Ai) = 1 - qi, I = 1,...

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  14. What is Time Reversal Test? Show that Fisher's Index No. satisfies Tim...

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  15. Suppose a variable assumes the values 0, 1, 2………….n with frequencies p...

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

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  17. Write down two cases when mean deviation about mean and standard devia...

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  18. There are three urns containing respectively bi black balls, wi white ...

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  19. Three boxes of the same appearance have the following proportions of b...

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

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