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Show that P(B)>0, then P(A1 cup A2|B) = ...

Show that `P(B)>0`, then `P(A_1 cup A_2|B) = P(A_1|B) + P(A_2|B)-P(A_1 cap A_2|B)`.

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UNITED BOOK HOUSE-Model Test Set -3-Exercise
  1. If P(A + B) = 7/12 and P(A) = 1/3 for two independent events A and B, ...

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  2. If P(A - B) = 1/3, P(A) =1/2 and P(B)= 1/3 , calculate the probability...

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  3. Can two mutually exclusive events with positive probabilities be indep...

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  4. For three values a, (a+b)/2 and b(> a) find the value of range/sd.

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

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  6. What are the principal characteristics of an ideal average?

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  7. Suppose the least value (5) of a set of 50 values is changed to 4. Wha...

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  8. Find the condition that the equation x^3 - px^2 + qx -x = 0 should hav...

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  9. Find the remainder when x^5+ 5x^4 + x^3 + 5x^2 + 2x + 11 is divided by...

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  10. Write a short note on interpolation.

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  11. State Fermat’s theorem. Also prove that /\log f(x) = log [1 +(/\ f(x))...

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  12. Show that P(B)>0, then P(A1 cup A2|B) = P(A1|B) + P(A2|B)-P(A1 cap A2|...

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  13. Supposing P(A cap B)>0, show that P(B cap C|A)=P(B|A)P(C|A cap B).

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  14. Ten telegrams are distributed at randam over 15 communication channels...

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  15. Write down uses of index numbers.

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  16. Write a short note on ‘measures of dispersion’.

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  17. Write a general formula expressing central moments in terms of raw mom...

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

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  20. A and B alternatively toss a fair coin. The first once to throw a head...

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