  ## ISI MStat PSB 2008 Problem 7 | Finding the Distribution of a Random Variable

This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 7 based on finding the distribution of a random variable . Let’s give it a try !! Problem- ISI MStat PSB 2008 Problem 7 Let $X$ and $Y$ be exponential random variables with parameters... This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 2 based on definite integral as the limit of the Riemann sum . Let’s give it a try !! Problem- ISI MStat PSB 2008 Problem 2 For $k \geq 1,$ let $a_{k}=\lim {n \rightarrow \infty}... ## ISI MStat PSB 2008 Problem 3 | Functional equation This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 3 based on Functional equation . Let’s give it a try !! Problem- ISI MStat PSB 2008 Problem 3 Let \(g$ be a continuous function with $g(1)=1$ such that $g(x+y)=5 g(x) g(y)$ for all... ## ISI MStat PSB 2007 Problem 6 | Counting Principle & Expectations

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 6 based on counting principle . Let’s give it a try !! Problem- ISI MStat PSB 2007 Problem 6 18 boys and 2 girls are made to stand in a line in a random order. Let $X$ be the number of... ## ISI MStat PSB 2006 Problem 6 | Counting Principle & Expectations

This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 6 based on counting principle . Let’s give it a try !! Problem- ISI MStat PSB 2006 Problem 6 Let $Y_{1}, Y_{2}, Y_{3}$ be i.i.d. continuous random variables. For i=1,2, define $U_{i}$...