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
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:
The value of a and b so that the following is probability mass function
with mean 1.1, is: