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For two events A and B `P(A^C|B^C)+P(A|B^C)=`?

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  • Model Test Set - 4

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For two events A and B P(A^c//BC) + P(A//B^c) = ?

If for two events A and B, P(A) = P (A/B) = 1/4 and P (B/A) = 1/2 , show that A and B are two mutually independent events.

For two given events Aa n dB ,P(AnnB)i s (a)not less than P(A)+P(B)-1 (b)not less greater than P(A)+P(B) (c)equal to P(A)+P(B)-P(AuuB) (d)equal to P(A)+P(B)+P(AuuB)

For two independent events A and B with P(A)=0.5, P(B^C)=0.3 , find the probability of exactly one of them will occur.

For any two events A and B prove that, P(A//B) lt P(B//A) " if " P(A) lt P(B)

If two events A and B are such as P(A^(c ))=0.3, P(B)=0.4 and P(A cap B^(c ))=0.5 , find the value of P[B//(A cup B^(c ))] .

If A and B are two events and P(A)=(3)/(8), P(B)=(1)/(2), P(A cap B)=(1)/(4) then the value of P(A^(c ) cap B^(c ))=(K)/(8) , find the value of K.

For any two events A and B, show that, P(A uu B) = P(A) + P(B) - P(A nn B) .

If A and B are two events then show that P(B) = P(A). P(B/A) + P(A^C).P(B/A^C).0 < P(A) < 1 .

If A and B are two events such that P(A)=0.3 , P(B)=0.25 , P(AnnB)=0.2 , then P(((A^(C ))/(B^(C )))^(C )) is equal to

UNITED BOOK HOUSE-Model Test Set - 5-Exercise
  1. The probability of an impossible event is .

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  2. If for two event A and B, P(A or B) = 7/(10) , P (A and B) = 2/5 , P(A...

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  3. For two events A and B P(A^C|B^C)+P(A|B^C)=?

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  4. Define simple aggregative price index number.

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  5. name the different phases of human growth.

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  6. If the mean square deviation of a variable x about 7 is 25 and the mea...

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  7. What are different measures of skewness.

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  8. A, B and C are three mutually exclusive and exhaustive events associat...

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  9. The probability that a student passes a physics test is 2/3 and the th...

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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. What is the difference between A^@ and AU?

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  12. Write a short note on histogram of a frequency distribution.

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  13. If the relation between two variables x and y is 2x + 3y = 7 and media...

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  14. Suppose 2x - 3y = 5 is the relation between the varibles x and y. If t...

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  15. Derive Largrange’s interpolation formula for n = 3.

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  16. Prove that /\^2(ab^(ex))=(b^c-1)^2ab^(ex).

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  17. Given that x. y, z are unequal positive numbers show that 1/x+1/y+1/z ...

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  18. Prove that log5^7 < sqrt2.

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  19. If A an B are two events such that P(A) = 3/4 and P(B^c) = 3/8. then p...

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  20. An investment consultant predicts that the odds against the price of a...

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