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For each of the following p.d.f of r.v.X...

For each of the following p.d.f of r.v.X,find (a)`P(x<1) and (b)P(|X|<1)`(i)`f(x)-x^2/18,for -3

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CHETANA PUBLICATION-PROBABILITY DISTRIBUTIONS-EXERCISE
  1. Verify the following functions are p.d.f of a continuous r.v. X (i)f(...

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  2. For each of the following p.d.f of r.v.X,find (a)P(x<1) and (b)P(|X|<1...

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  3. For each of the following p.d.f of r.v.X,find (a)P(x<1) and (b)P(|X|<1...

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  4. Find the c.d.f. f(x)=3(1-2x^2) for 0 < x < 1 and =0,otherwise. Also ...

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  5. Let f(x)=1/x^2,1 < x < infty =0,otherwise be the pdf of a r.v. X if ...

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  6. Let X=amount of time for which on book is taken out of a college libra...

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  7. Let X = amount of time for which on book is taken out of a college li...

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  8. Let X denote the reaction temperature (in 0^@ C) of a certain chemical...

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  9. Let X =time (in minutes) that elapser betweeb the bell and the end of ...

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  10. Let X =time (in minutes) that elapser betweeb the bell and the end of ...

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  11. Let X =time (in minutes) that elapser betweeb the bell and the end of ...

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  15. A r.v.X assumes values 1,2,3….n with the equal probabilities. (ii) Wha...

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  16. The pdf of r.v.X is given by f(x)=k/sqrt(x) ,0 < x< 4. =0,otherwise. ...

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  17. Determine K if f(x)=Ke^(- theta x),0lex < theta,theta > 0 =0,otherwise...

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  19. A r.v.X has the following probability distribution.(ii)Find P(0 < x <...

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  20. Given that p.d.f of a continuous r.v. f(x)=x^(2/3), for 1 < x < 2 a...

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