27.

28.

29.

80,

31.

82.

3.

84.

39.

36.

Define level of significance and power of test.

Write down the test statistic for testing equality of two distributions പള Kolmogoroy
Smirnov Test.

5 1 1 ⋅
how that the series ↥⊺⋅↕∙⋅−− +... 158 ളവ.

What is the probability that out of 10 deliveries in a hospital on a day 5 results in male
births?
(30 1 100)

PART II
Answer 9۹۹ carries 10 marks.

5

Find the characteristic function of Laplace distribution with pdf ട്ട =

In a sample of 1000 people in Maharashtra 540 are rice eaters and the rest are wheat eaters.
Can we assume that rice eaters and wheat eaters are equally popular in this state at 1% level
of significance?

+27

X and Y are two random variables having the joint density function, f(x,y): = 27 where x

and y assumes values 0, 1 and 2, Find the conditional digtribution of Y given X =x.

Find the maximum likelihood estimate for the parameter A of a Poisson distribution en the

basis of sample of size n. Also find its variance.

If X >1 is the critical region for testing 4 =2 against the alternative i=1, on the basis of a
single observation from a population, f(x,4)=2¢*, 0
Error and Type 11 error.

Explain the three basic principles of experimental design.

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