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Recent questions tagged p242

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

A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is $2 m$ and volume is $8 m^3$. If building of tank costs Rs 70 per sq metres for the base and Rs 45 per square metre for sides. What is the cost of least expensive tank?

asked Nov 28, 2012 by thanvigandhi_1

1 answer

Find the maximum area of an isosceles triangle inscribed in the ellipse $\large\frac{x^2}{a^2} + \frac{y^2}{b^2} $$= 1 $ with its vertex at one end of the major axis.

asked Nov 28, 2012 by thanvigandhi_1

2 answers

Find the intervals in which the function \(f\) given by $f(x) = x^3 + \large\frac{1}{x^3}$$, x \neq 0$ is $(i) \;increasing\qquad (ii) \;decreasing.$

asked Nov 28, 2012 by thanvigandhi_1

1 answer

Find the intervals in which the function \(f\) given by $ f(x) =\large \frac{4sin\: x - 2x - xcos \: x}{2+cos\:x}$ is (i) increasing (ii) decreasing.

asked Nov 28, 2012 by thanvigandhi_1

1 answer

Show that the normal at any point \(\theta\) to the curve $ x = a \cos\theta + a \: \theta \sin\: \theta, y = a\sin\theta - a\theta \cos\theta$ is at a constant distance from the origin.

asked Nov 28, 2012 by thanvigandhi_1

1 answer

Find the equation of the normal to curve \(y^2 = 4x\) which passes through the point \((1, 2).\)

asked Nov 28, 2012 by thanvigandhi_1

1 answer

The two equal sides of an isosceles triangle with fixed base $b$ are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base ?

asked Nov 28, 2012 by thanvigandhi_1

1 answer

Show that the function given by \( f(x) =\large \frac{\log \: x}{x}\) has maximum at \(x = e.\)

asked Nov 28, 2012 by thanvigandhi_1

1 answer

Using differentials, find the approximate value of each of the following: $(33)^{-\large\frac{1}{5}}$

asked Nov 28, 2012 by thanvigandhi_1

1 answer

Using differentials, find the approximate value of each of the following: $ \left(\large\frac{17}{81}\right)^{\frac{1}{4}}$

asked Nov 28, 2012 by thanvigandhi_1

1 answer

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