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...

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....

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 \(...

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...

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...