Kerala PSC Previous Years Question Paper & Answer

Title : STATISTICS
Question Code : A

Page:1


Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'STATISTICS' And exam conducted in the year 2015. And Question paper code was '066/2015'. Medium of question paper was in Malayalam or English . Booklet Alphacode was 'A'. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.

page: 1 out of 4
Excerpt of Question Code: 066/2015

66/2015 (Pages: 4)

10.

11

Maximum : 200 marks
Time : 1% hours
PART I
Answer ALL questions, Each question cam_'es 4 marks.
If P(4)=0.2, P(B)=0.3 and P(A~ B)=0.1, find P(4/B) and P(B/A).
What do mean by Cramer - Rao Lower bound?

Let X be a random variable with distribution function :

^ (५) = 00
1-2 ௨50

Obtain the moment generating function.

In a business venture a man can make profit of T 2,000/- with a probability of 0.4 and a loss

of T 1,000/~ with a probability of 0.6. What is his expected profit?

A continuous random variable X hag a probability density function f(x): 30 > > ம்‌
‘' such that P(X sa)= P(X >a).

What are the applications of Chi- square distribution?
What are the characteristics of a good estimator?
State Naymann-Pearson Lemma.

State Central limit theorem.

Distinguish between നമെട 97 and statistic,

Define F Statistic and write its p. d. £

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