Indian Statistical Institute Admission Test Papers

Hello sir here I am looking for the M.Stat Sample Model test Paper of Indian Statistical Institute so can any one please provide me the same?

[Kiran Chandar]

Hello, as you need the M.Stat Sample Model test Paper of Indian Statistical Institute so here I am providing you this

1. There are two biased coins { one which has probability 1=4 of showing heads and 3=4 of showing tails, while the other has probability 3=4 of showing heads and 1=4 of showing tails when tossed. One of the two coins is chosen at random and is then tossed 8 times.

(a) Given that the
rst toss shows heads, what is the probability that in the next 7 tosses there will be exactly 6 heads and 1 tail?
(b) Given that the
rst toss shows heads and the second toss shows tail, what is the probability that the next 6 tosses all show heads?

2. Let V1 be the variance of the estimated mean from a strati
ed random sample of size n with proportional allocation. Assume that the strata sizes are such that the allocations are all integers. Let V2 be the variance of the estimated mean from a simple random
sample of size n.

Show that the ratio V1=V2 is independent of n.


Indian Statistical Institute M.Stat Model test Paper







For complete paper here is the PDF file