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 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...

This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 2 based on Convergence of a sequence. Let’s give it a try !! Problem- ISI MStat PSB 2009 Problem 2 Let \( \{x_{n}: n \geq 0\} \) be a sequence of real numbers such that\( x_{n+1}=\lambda...

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME II, 2015 based on Sequence and permutations. Sequence and permutations – AIME II, 2015 Call a permutation \(a_1,a_2,….,a_n\) of the integers 1,2,…,n quasi...

Try this beautiful problem from the American Invitational Mathematics Examination, AIME 2012 based on Arithmetic Sequence. Arithmetic Sequence Problem – AIME 2012 The terms of an arithmetic sequence add to \(715\). The first term of the sequence is increased by...