List of top Statistical Science Questions

What is the causal organism of the downy mildew of bajra ?

Kisan Credit Card (KCC) was introduced in India in :

The term 'regur' refers to :

Which state became India's top vegetable producer in 2022 ?

In which state did Dr. Mansukh Mandaviya inaugurate IFFCO Nano Urea Liquid Plants at Aonla and Phulpur ?

The agency started with the responsibility of buffer stocking is :

Olsen method is used for phosphorus estimation in :

Parbhat is an early variety of :

The headquarters of Food and Agricultural Organisation are located in :

Coating urea with which of the following has been found to increase the yield of crops ?

Let the m.g.f. of a random variable \(X\) be of the form \(M_X(t)=\exp\!\left\{3\left(e^t-1\right)\right\}\). What is the value of the kurtosis coefficient \(\beta_2\)?

If \(\theta=t^n e^{-\frac{r^2}{4t}}\), then the value of \(n\) that will make \(\frac{1}{r^2}\frac{\partial}{\partial r}\left(r^2\frac{\partial \theta}{\partial r}\right)=\frac{\partial \theta}{\partial t}\) is given by:

The value of \(\int \cos^{-1}(2x)\,dx\) is given by:

The value of \(\iint_{R} y^2x\,dy\,dx\) over the rectangle \(R=\{(x,y):-3\le x\le 2,\;0\le y\le 1\}\) is given by:

The solution of the differential equation \(\frac{d^2x}{dt^2}+6\frac{dx}{dt}+9x=0\) is given by:

If \(A\) is any real number and \(r\) is a positive rational number, then the value of \(\lim_{x\to +\infty}\frac{A}{x^r}\) is:

The value of \(\lim_{x \to +\infty} \sqrt[3]{\frac{3x+5}{6x-8}}\) is given by:

If \(\Gamma(n)=\int_{0}^{\infty} e^{-x}x^{n-1}\,dx,\; n > 0\), then the value of \(\int_{0}^{\pi/2}\sin^{n}x\,dx\) is given by:

The value of \(\int_{0}^{6} f(x)\,dx\), if \(f(x)=\begin{cases}x^2, & x < 2 \\ 3x-2, & x \ge 2\end{cases}\), is given by:

Let \(\sum_{n=1}^{\infty}a_n\) be any series of real numbers. Then, which of the following statement is true?

Let \(\sum_{n=1}^{\infty}(-1)^na_n=\sum_{n=1}^{\infty}(-1)^n\dfrac{1}{\sqrt{n}}\) be a series, then:

Let f be a function such that f and all its derivatives exist in an open interval I containing c, then the Taylor’s series of f at x = c is given by :

Suppose the function f is continuous at the point P(c, f(c)). Then, the graph of f has a vertical tangent at P if :

If the function f(x, y) has mixed second order partial derivatives $f_{xy$ and $f_{yx}$ that are continuous in an open disk containing ($x_0, y_0$), then :}

Suppose f is continuous on [a, b] and differentiable on (a, b). If f(a) = f(b), then there exists at least one number c between a and b such that $f'(c) = 0$ is the statement of