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Recent questions tagged tnstate

Var $(4X+3)$ is

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

asked May 28, 2013 by poojasapani_1

1 answer

Variance of the random variable $X$ is$4$ .Its mean is $2.$ Then $E(X^{2})$ is

asked May 28, 2013 by poojasapani_1

1 answer

$X$ is a random variable taking the values $3, 4 $and $12$ with probabilities $\large\frac{1}{3},\frac{1}{4}$ and $\large\frac{4}{7}.$ Then $E(X)$ is

asked May 28, 2013 by poojasapani_1

1 answer

Given $E(X+c)=8$ and $E(X-c)=12$ then the value of $c$ is

asked May 28, 2013 by poojasapani_1

1 answer

A random variable $X$ has the following p.d.f\[\]$ \begin{array} {llllllll} \textbf{X:}& 0& 1& 2& 3& 4& 5&6&7 \\ \textbf{P(X):}& 0& k &2k& 2k& 3k& k^{2}&2k^{2}&7k^{2}+k \end{array} $\[\]The value of $k$ is

asked May 28, 2013 by poojasapani_1

1 answer

$X$ is a discrete random variable which takes the values $0, 1, 2 $ and $P(X=0)=\large\frac{144}{169},$$ P(X=1)=\large\frac{1}{169}$ then the value of $P(X=2)$ is

asked May 28, 2013 by poojasapani_1

1 answer

A random variable $X$ has the following probability mass function as follows:\[\]$\begin{array} {llllllll} \textbf{X:}& -2& 3 & 1 \\ \textbf{P(X=x):}& \large\frac{\lambda}{6}& \large\frac{\lambda}{4} &\large\frac{\lambda}{12} \end{array}$\[\] Then the value of $\lambda$ is

asked May 28, 2013 by poojasapani_1

1 answer

A random variable $X$ has the following probability distribution.\[\]$\begin{array} {llllllll} \textbf{X:}& 0& 1& 2& 3& 4& 5 \\ \textbf{P(X=x):}& 1/4& 2a &3a& 4a& 5a& 1/4 \end{array}$\[\]Then $p(1\leq x\leq 4)$ is

asked May 28, 2013 by poojasapani_1

1 answer

If $f(x)=\large\frac{A}{\pi}\frac{1}{16+x^{2'}}$$-\infty<x<\infty$\[\]is a p.d.f of a continuous random variable $X,$ then the value of $A$ is

asked May 28, 2013 by poojasapani_1

1 answer

If $ f(x) = \left\{ \begin{array}{l l} kx^{2}, & \quad \text{$0<x<3$}\\ 0, & \quad \text{elsewhere} \end{array} \right. $ is a probability density function then the value of $k$ is

asked May 28, 2013 by poojasapani_1

0 answers

In the set of integers under the operation $^\ast $ defined by $a^{\ast}b=a+b-1$ the identity element is

asked May 27, 2013 by poojasapani_1

1 answer

In the multiplicative group of $n{ th } $ roots of unity, the inverse of $\omega^{k}$ is $(k<n)$

asked May 27, 2013 by poojasapani_1

1 answer

The order of $-i$ in the multiplicative group of $4^{th} $ roots of unity is

asked May 27, 2013 by poojasapani_1

1 answer

Which of the following is correct?

asked May 27, 2013 by poojasapani_1

1 answer

In the set of real numbers $R,$ an operation $^\ast $is defined by $a^\ast b=\sqrt{a^{2}+b^{2}}.$ Then the value of $(3^\ast4)^\ast 5$ is

asked May 27, 2013 by poojasapani_1

1 answer

The value of $[3]+11([5]+11[6])$ is

asked May 27, 2013 by poojasapani_1

1 answer

In the multiplicative group of cube root of unity, the order of $w^{2}$ is

asked May 24, 2013 by poojasapani_1

1 answer

The order of $[7]$ in $(Z_{9},+_{9})$ is

asked May 24, 2013 by poojasapani_1

1 answer

In the set of integers with operation $^{\ast}$ defined by $a ^{\ast} b=a+b-ab,$ the value of $3^{\ast}(4^{\ast} 5)$ is

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is not a group?

asked May 24, 2013 by poojasapani_1

1 answer

A monoid becomes a group if it also satisfies the

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is not a binary operation on $R$

asked May 24, 2013 by poojasapani_1

1 answer

$p\leftrightarrow q$ is equivalent to

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is a contradiction ?

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is a tautology?

asked May 24, 2013 by poojasapani_1

1 answer

The conditional statement $ p\to q$ is equivalent to

asked May 24, 2013 by poojasapani_1

1 answer

The number of rows in the truth table of $\sim[p\land(\sim q)]$ is

asked May 24, 2013 by poojasapani_1

1 answer

If $\;p\;$ is $T$ and $\;q$ is $F$, then which of the following have the truth value$T$? \[\begin{array}{1 1}(1)p \vee q&(2)\sim p\vee q\\(3)p \vee \sim q&(4)p \wedge\sim q\end{array}\]

asked May 24, 2013 by poojasapani_1

1 answer

If a compound statement is made up of three simple statements, then the number of rows in the truth table is

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following are statements?\[\begin{array}{1 1}(1)May \;God \;bless\; you.&(2)Rose\; is\; a\; flower.\\(3)Milk \;is \;White.&(4)1 \;is\; a\; prime \;number.\end{array}\]

asked May 24, 2013 by poojasapani_1

1 answer

The particular integral of the differential equation $f(D)y=e^{ax}$ where $\;.f(D)=(D-a)g(D).g(a)\neq 0$ is

asked May 24, 2013 by poojasapani_1

1 answer

The P.L of $(3D^{2}+D-14)y=13e^{2x}$ is

asked May 24, 2013 by poojasapani_1

1 answer

The integrating factor of the differential equation $\large\frac{dy}{dx}$$-y\tan x=\cos x $ is

asked May 24, 2013 by poojasapani_1

1 answer

On putting $y=vx,$ the homogeneous differential equation $x^{2}dy+y(x+y)dx=0$ becomes

asked May 24, 2013 by poojasapani_1

1 answer

If $f '(x)=\sqrt{x}$ and $f(1)=2$ then $f(x)$ is

asked May 24, 2013 by poojasapani_1

1 answer

If $\large\frac{dy}{dx}=\frac{x-y}{x+y}$ then

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation formed by eliminating $A$ and $B$ from the relation $y=e^{x}(A\cos x+ B\sin x) $ is

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation obtained by eliminating $a$ and $b$ from $y=ae^{3x}+be^{-3x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

If $y=ke^{\lambda x}$ then its differential equation is

asked May 23, 2013 by poojasapani_1

1 answer

The degree of the differential equation $\;\Large c=\frac{\left[1+\left(\frac{dy}{dx}\right)^{3}\right]^{2/3}}{\frac{d^{3}y}{dx^{3}}}$ where $c$ is a constant

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation satisfied by all the straight lines in $xy$ plane is

asked May 23, 2013 by poojasapani_1

1 answer

The amount present in a radio active element disintegrates at a rate proportional to its amount .The differential equation corresponding to the above statement is ($k$ is negative)

asked May 23, 2013 by poojasapani_1

1 answer

The degree of the differential equation $\Large\sqrt{1+\left(\frac{dy}{dx}\right)^{1/3}}=\frac{d^{2}y}{dx^{2}}$

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation of the family of lines $y=mx$ is

asked May 23, 2013 by poojasapani_1

1 answer

A particular integral of $(D^{2}-4D+4)y=e^{2x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

The complementary function of $(D^{2}+1)y=e^{2x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

The integrating factor of the differential equation $\large\frac{dy}{dx}$$+py=Q$ is

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation of all circles with centre at the origin is

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation of all non-vertical lines in a plane is?

asked May 23, 2013 by poojasapani_1

1 answer

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