For the following questions answer them individually
For the frequency distribution of income (in lakh) of the employees in factory
the value of mode is
These seventh decile ($$D_{7}$$) of data set 4, 3, 10, 9, 1 is
For the distribution
the third factorial moment is
If the difference between the rank of the 4 observations are 2.5, 0.5, -1.5, -1.5, then Spearman's rank correlation coefficient equals to:
$$X_{1}$$ and $$X_{2}$$ represent number of occurrences of event A and 8 that follow Poisson distribution with mean rate $$\lambda_{1}$$ and $$\lambda_{2}$$, If $$Y_{1}$$ and $$Y_{2}$$ are inter-occurrence times of event A and B, then min($$Y_{1},Y_{2}$$) follows
For the distribution with unknow $$\theta$$
$$f(x, \theta) = \begin{cases}\frac{1}{\theta}; & 0 \leq x \leq \theta\\0, & elsewhere\end{cases}$$
We set the testing of hypothesis $$H_{0} : \theta = 1 \ vs \ H_{1} : \theta = 2$$. When the critical region $$X \geq 0.4$$, the value of probability of type-II error is:
For the production data
the third 3-year simple moving average is:
The grouped data for the observations are
The population skewness
For the data set
the regression coefficient $$b_{xy}$$ (y on $$x$$) equals to:
The value of a and b so that the following is probability mass function
with mean 1.1, is: