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Recent questions tagged p243
ASK
If a random variable $X$ follows poisson distribution such that $E(X^{2})=30$ then the variance of the distribution is
tnstate
class12
bookproblem
p243
objective
q143
modelpaper
jun-2008
asked
May 30, 2013
by
poojasapani_1
1
answer
If in a poisson distribution $P(X=0)=k$ then the variance is
tnstate
class12
bookproblem
p243
objective
q142
modelpaper
oct-2007
mar-2007
oct-2008
mar-2009
asked
May 30, 2013
by
poojasapani_1
1
answer
If $2$ cards are drawn from a well shuffled pack of $52$ cards, the probability that they are of the same colours without replacement, is
tnstate
class12
bookproblem
p243
objective
q141
asked
May 30, 2013
by
poojasapani_1
1
answer
A box contains $6$ red and $4$ white balls.If $3$ balls are drawn at random, the probability of getting $2$ white balls without replacement, is
tnstate
class12
bookproblem
p243
objective
q140
asked
May 28, 2013
by
poojasapani_1
1
answer
In $16$ throws of a die getting an even number is considered a success. Then the variance of the successes is
tnstate
class12
bookproblem
p243
objective
q139
modelpaper
jun-2007
mar-2010
asked
May 28, 2013
by
poojasapani_1
1
answer
If the mean and standard deviation of a binomial distribution are $12$ and $2$ respectively. Then the value of its parameter $p$ is
tnstate
class12
bookproblem
p243
objective
q138
asked
May 28, 2013
by
poojasapani_1
1
answer
The mean of a binomial distribution is $5$ and its standard deviation is $2.$ Then the value of $n$ and $p$ are
tnstate
class12
bookproblem
p243
objective
q137
asked
May 28, 2013
by
poojasapani_1
1
answer
In $5$ throws of a die, getting $1$ or $2$ is a success. The mean number of successes is
tnstate
class12
bookproblem
p243
objective
q136
modelpaper
oct-2006
asked
May 28, 2013
by
poojasapani_1
1
answer
Var $(4X+3)$ is
tnstate
class12
bookproblem
p243
objective
q135
modelpaper
mar-2006
jun-2006
mar-2008
jun-2008
asked
May 28, 2013
by
poojasapani_1
1
answer
$\mu_{2}=20, \mu'_{2}=276$ for a discrete random variable $X$. Then the mean of the random variable $X$ is
tnstate
class12
bookproblem
p243
objective
q134
modelpaper
oct-2009
mar-2010
asked
May 28, 2013
by
poojasapani_1
1
answer
Choose the correct answer in the slope of the tangent to the curve \(x = t^2 + 3t – 8, y = 2t^2 – 2t – 5\) at the point \((2,– 1)\) is
cbse
class12
bookproblem
ch6
misc
q20
p243
sec-b
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in a cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is increasing at the rate of
cbse
class12
bookproblem
ch6
misc
q19
p243
sec-a
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height \(h\) and semi vertical angle $\alpha$ is one-third that of the cone and the greatest volume of cylinder is $\large \frac{4}{27}$$\pi h^3 \: tan^2 \: \alpha $
cbse
class12
bookproblem
ch6
misc
q18
p243
sec-c
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is \(\large\frac{2R}{\sqrt 3}\) . Also find the maximum volume.
cbse
class12
bookproblem
ch6
misc
q17
p243
sec-c
difficult
math
asked
Nov 28, 2012
by
thanvigandhi_1
2
answers
Let \(f\) be a function defined on \([a, b]\) such that \(f' (x) > 0\), for all \(x \: \in (a, b)\). Then prove that \(f\) is an increasing function on \((a, b).\)
cbse
class12
bookproblem
ch6
misc
q16
p243
sec-b
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius \(r\) is \( \large\frac{4r}{3}\)
cbse
class12
bookproblem
ch6
misc
q15
p243
sec-b
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Find the absolute maximum and minimum values of the function $(f)$ given by $ f (x) = cos^2 x + sin\: x, x\: \in [0, \pi]$
cbse
class12
bookproblem
ch6
misc
q14
p243
sec-b
easy
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Find the points at which the function \(f\) given by \(f (x) = (x – 2)^4 (x + 1)^3\) has a (i) local maxima, (ii) local minima and the (iii) point of inflexion.
cbse
class12
bookproblem
ch6
misc
q13
p243
sec-b
easy
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
A point on the hypotenuse of a triangle is at distance \(a\) and \(b\) from the sides of the triangle.Show that the maximum length of the hypotenuse is $ (a^{\large\frac{2}{3}} + $$b^{\large\frac{2}{3}})^{\Large\frac{3}{2}}$
cbse
class12
bookproblem
ch6
misc
q12
p243
sec-c
difficult
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
A window is in the form of a rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 m. Find the dimensions of the window to admit maximum light through the whole opening.
cbse
class12
bookproblem
ch6
misc
q11
p243
sec-c
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
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