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Recent questions tagged p204
Questions
A random variable $x$ has a probability density function $f(x) = \left\{ \begin{array}{l l} k & \quad \text{0<x<2n}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ Find $p(\large\frac{\pi}{2}<x<\frac{3\pi}{2})$
tnstate
class12
bookproblem
ch10
sec-1
p204
q10
q10-3
asked
Apr 19, 2013
by
poojasapani_1
1
answer
A random variable $x$ has a probability density function $f(x) = \left\{ \begin{array}{l l} k & \quad \text{0<x<2n}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ Find $p(0<x<\large\frac{\pi}{2})$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q10
q10-2
asked
Apr 19, 2013
by
poojasapani_1
1
answer
A random variable $x$ has a probability density function $f(x) = \left\{ \begin{array}{1 1} k & \quad 0 < x < 2n \\ 0 & \quad \text{else where} \end{array} \right.$ Find $k$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q10
q10-1
asked
Apr 19, 2013
by
poojasapani_1
1
answer
A continuous random variable $x$ has the p.d.f defined by $f(x) = \left\{ \begin{array}{1 1} ce^{-ax} & \quad 0 < x < \infty \\ 0 & \quad \text{else where} \end{array} \right.$ Find the value of $c$ if $a>0$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q9
asked
Apr 19, 2013
by
poojasapani_1
1
answer
For the distribution function given by $f(x) = \left\{ \begin{array}{l l} 0&\quad\text{x<0}\\ x^{2} & \quad \text{$0$$\leq$$x$$\leq$$1$}\\ 1 & \quad \text{x>1} \end{array} \right.$\[\] Find the density function. Also evaluate $p(x>0.75)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q8
q8-3
asked
Apr 19, 2013
by
poojasapani_1
1
answer
For the distribution function given by $f(x) = \left\{ \begin{array}{l l} 0&\quad\text{x<0}\\ x^{2} & \quad \text{$0$$\leq$$x$$\leq$$1$}\\ 1 & \quad \text{x>1} \end{array} \right.$\[\] Find the density function. Also evaluate $p(x\leq0.5)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q8
q8-2
asked
Apr 19, 2013
by
poojasapani_1
1
answer
For the distribution function given by $f(x) = \left\{ \begin{array}{l l} 0&\quad\text{x<0}\\ x^{2} & \quad \text{$0$$\leq$$x$$\leq$$1$}\\ 1 & \quad \text{x>1} \end{array} \right.$\[\] Find the density function. Also evaluate p(0.5< x <0.75)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q8-1
asked
Apr 19, 2013
by
poojasapani_1
1
answer
The probability density function of a random variable $x$ is $f(x) = \left\{ \begin{array}{l l} kx^{\alpha-1}e^{-\beta\;x^{\alpha}}, & \quad \text{x,$\alpha$$,\beta$>$0$}\\ 0 ,& \quad \text{elsewhere} \end{array} \right.$, Find $p(x$>$10)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q7
q7-2
asked
Apr 19, 2013
by
poojasapani_1
1
answer
The probability density function of a random variable $x$ is $f(x) = \left\{ \begin{array}{l l} kx^{\alpha-1}e^{-\beta\;x^{\alpha}}, & \quad \text{x,$\alpha$$,\beta$>$0$}\\ 0 ,& \quad \text{elsewhere} \end{array} \right.$ \[\] Find $k$
tnstate
class12
bookproblem
ch10
sec-1
p204
q7
q7-1
asked
Apr 19, 2013
by
poojasapani_1
1
answer
For the p.d.f $f(x) = \left\{ \begin{array}{l l} cx(1-x)^{3}, & \quad \text{0 $<$ x$<$1}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ \[\]Find $p(x<\large\frac{1}{2})$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q6
q6-2
modelpaper
oct-2008
asked
Apr 19, 2013
by
poojasapani_1
1
answer
For the p.d.f $f(x) = \left\{ \begin{array}{l l} cx(1-x)^{3}, & \quad \text{0 $<$ x$<$1}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ \[\]Find the constant $c$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q6
q6-1
modelpaper
oct-2008
asked
Apr 19, 2013
by
poojasapani_1
1
answer
Verify that the following are probability density functions.$f(x)=\large\frac{1}{\pi}\frac{1}{(1+x^{2})'}$$-\infty$$<$$x$$<\infty $
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q5
q5-2
asked
Apr 18, 2013
by
poojasapani_1
1
answer
Verify that the following are probability density functions.$f(x) = \left\{ \begin{array}{l l} \frac { 2x}{9} & \quad \text{0 $\leq$ x$\leq$3}\\ 0 & \quad \text{elsewhere} \end{array} \right.$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q5
q5-1
asked
Apr 18, 2013
by
poojasapani_1
1
answer
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