ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern): Questions 13 - 18 of 165

Given that a = 1,

The mean is

The standard deviation is

The property of memory less is that these distributions of “time from now to the next period” are exactly the same. The property is most easily explained in terms of “waiting times.

Suppose X is a discrete random variable whose values is a non-negative. In probability theory, a distribution is said to have lack of memory if

Let x _(1), x _{(2), …,} x _(n) be the ordered sample values from a population F (X) and M be its median.

Here we test where M ₀ is the given value of the median and hence

To perform the sign test, first find the diffe

Let X and Y are two independent chi-squared random variables with degree of freedom n and m respectively. We proof this by moment generating function. The moment generating function of chi-squared distribution is

Then moment generating function of sum of two random variable (X + Y) is

Let x denote the time Amal arrives at the bar and y denote the time Bimal arrives at the bar from 6 p. m. We will draw the lines y = x – 10 and y = x + 10 and shade the area in between these two lines to denote the event.

They will meet if x - 10 < y < x + 10 that is (x, y) falls in th

Let the Durg A consider the population X and Durg B consider the population Y. The hypothesis whether two sample comes from same identical population. We test the following null and alternative hypothesis is

In Mann-Whitney test, first consider