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Let X be a continuous random variable wh...

Let X be a continuous random variable whose probability density function is `f(x)=x^3/4` for `0 < x < c`.
What is the value of the constant c, that makes f(x) a valid
probabilitty density function? What is cdf of X?

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CHETANA PUBLICATION-PROBABILITY DISTRIBUTIONS-EXERCISE
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  2. The p.d.f of random variable of X is given by f(x)=k/sqrt x,for 0 < x...

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  3. Let X be a continuous random variable whose probability density functi...

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  4. Verify the following functions are p.d.f of a continuous r.v. X (i)f(...

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  5. 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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  6. 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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  7. Find the c.d.f. f(x)=3(1-2x^2) for 0 < x < 1 and =0,otherwise. Also ...

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

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

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

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

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

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

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

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

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

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

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