  ## ISI MStat PSB 2006 Problem 5 | Binomial Distribution

This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 5 based on use of binomial distribution . Let’s give it a try !! Problem- ISI MStat PSB 2006 Problem 5 Suppose $X$ is the number of heads in 10 tossses of a fair coin. Given $X=5,$ what... ## ISI MStat PSB 2006 Problem 1 | Inverse of a matrix

This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 1 based on Inverse of a matrix. Let’s give it a try !! Problem- ISI MStat PSB 2006 Problem 1 Let A and B be two invertible $n \times n$ real matrices. Assume that $A+B$ is invertible.... ## ISI MStat PSB 2007 Problem 2 | Rank of a matrix

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 2 based on Rank of a matrix. Let’s give it a try !! Problem- ISI MStat PSB 2007 Problem 2 Let $A$ and $B$ be $n \times n$ real matrices such that $A^{2}=A$ and $B^{2}=B$Suppose... This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 1 based on Determinant and Eigen values and Eigen vectors . Let’s give it a try !! Problem- ISI MStat PSB 2007 Problem 1 Let $A$ be a $2 \times 2$ matrix with real entries such that $... ## ISI MStat PSB 2007 Problem 4 | Application of Newton Leibniz theorem This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 4 based on use of Newton Leibniz theorem . Let’s give it a try !! Problem- ISI MStat PSB 2007 Problem 4 Let \( f: \mathbb{R} \rightarrow \mathbb{R}$ be a bounded continuous function. Define... ## ISI MStat PSB 2007 Problem 3 | Application of L’hospital Rule

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 3 based on use of L’hospital Rule . Let’s give it a try !! Problem- ISI MStat PSB 2013 Problem 2 Let f be a function such that $f(0)=0$ and f has derivatives of all order. Show that...