Question 1

2 Points

Given f(x,y)= 8xy, when 0<=x<=1, 0<=y<=x and f(x,y)=0 elsewhere, find

(i) Marginal density of x

(ii) Marginal density of y

(iii) Conditional density of x

(iv) Conditional density of y

Question 2

2 Points

Calculate the regression coefficients from the following :

x: 1 2 3 4 5 6 7 8 y: 3 7 10 12 14 17 20 24 Question 3

2 Points

Compute the rank correlation co-efficient for the following data:

Sr. no. 1 2 3 4 5 6 7 8 9 X: 10 15 12 17 13 16 24 14 22 Y: 30 42 45 46 33 34 40 35 39 Question 4

2 Points

12 entries in a painting competition were ranked by two judges , Judge I : 5, 2, 3, 4, 1, 6, 8, 7, 10, 9, 12, 11 and by Judge II: 4, 5, 2, 1, 6, 7, 10, 9, 11, 12, 3, 8 . Calculate Spearman’s rank correlation coefficient.

Question 5

2 Points

A manufacturer claims that only 4% of his products supplied by him are defective. A random sample of 600 products contains 36 defectives. Test the claim of the manufacturer.

# Question 1 2 Points Given f(x,y)= 8xy, when 0<=x<=1, 0<=y<=x …

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