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State true or false for the following statements :
The random variable X has probability distribution P(X) of the following form, where k is some number:
`P(X) ={{:( k"," ,if x = 0),(2k"," ,if x =1),(3k ",", if x =2),(0",", "otherwise"):}` Then k = 6

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ACCURATE PUBLICATION-PROBABILITY -Questions Carrying Type -III ( TRUE OR FALSE QUESTIONS )
  1. Three events A, B and C are said to be independent if P( A cap B cap C...

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  2. One of the condition of Bernoulli trials is that the trails are indepe...

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  3. Let P (A)gt 0 and P (B) gt 0. Then A and B can be both mutually exclus...

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  4. If A and B are independent events, then A' and B' are also independent...

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  5. Two events A and B will be independent, if:

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  6. Two independent events are always mutually exclusive.

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  7. If A and B are two independent events then P (A and B) = P(A). P(B).

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  8. If A and B are independent events, then P(A'uuB)=1-P(A)P(B').

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  9. If A and B are independent, then P (exactly one of A, B occurs) = P(A)...

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  10. If A and B are two events such that P (A) gt 0 and P(A) + P (B) gt 1, ...

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  11. If A, B and C are three independent events such that P (A)=P(B) =PC) =...

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  12. Three coins are tossed simultaneously. Find the sample space.

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  13. Two or more events associated with a random experiment are said to be ...

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  14. If P(A)=(1)/(5),P(B)=(3)/(10) and P(AnnB)=(3)/(25), then find (i) P(...

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  15. If P (A) = 1/2 , P(B) = 0 then P (A|B) is :

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  16. If A and B are independent events, then P(A'uuB)=1-P(A)P(B').

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  17. Let {E(1), E(2), ..., E(n),} be a partition of the sample space S, and...

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  18. Let {E(1), E(2), ..., E(n),} be a partition of the sample space S, and...

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  19. Let X denote the number of hours you study during a randomly selected ...

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  20. State true or false for the following statements : The random variab...

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