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}...

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...

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...

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 \( U_{i}\)...