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For any two events A and B, show that ...

For any two events A and B, show that max `{P(A),P(B)} le P(A cup B) le min{P(A) + P(B),1}` Where `A cup B, A cap B, max{P(A), P(B)}` and `min {P(A)+P(B),1}` are the occurence of A and B, occurence of A and B both, maximum of P(A) and P(B): minimum of P(A) + P(B) and 1 respectively.

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UNITED BOOK HOUSE-Model Test Set - 4-Exercise
  1. For any two events A1 and A2, show that P(A1 cap A2)lemin{P(A1),P(A2)...

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

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  3. In a group of 20 males and 5 females, 10 males and 3 females ae servic...

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  4. The first two moments of a distribution about the value 5 are 3 and 25...

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

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  6. If A.M and G.M of two positive real numbers are 25 and 15 respectively...

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  7. Find the condition that the equation x^3 + bx^2 + cx +d =0 may have tw...

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  8. If f(x) = 6x^3 + 4x^2 + 3x +2, find the values of f(-1), f (1/3) and f...

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  9. Prove that logn(n + 1) > log(n + 1) (n + 2), for n > 1.

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  10. Write the axiomatic definition of probability?

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  11. A picnic is arranged to be held on a particular day. The weather forec...

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  12. State and prove the theorem of compound probability.

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  13. What do you mean by purchasing power of money?

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  14. What do you mean by diagrammatic representation of data. Also write it...

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  15. Write a short note on measures of central tendency.

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  16. The first three moments of a distribution about the value 3 of a varia...

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

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

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  19. For any two events A and B, show that max {P(A),P(B)} le P(A cup B) ...

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  20. What is Life table?

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