Part 1:

Find the probability that standard normal random variable takes on the given values. Show the required area on the graph.

1. P-1.38
2. P-1.96
3. P-2.38
4. P1.23

Part 2:

For the data given below, find

x	6	5	9	8	10
y	3	7	11	4	5

1. Co-efficient of correlation r given by r=n x y-(x) (y)(n x2-x2) (n y2-y2)
2. Calculate the equation of the regression line y*=a+bx
3. Use it to find when x=7
4. Also calculate Karl Pearsons co-efficient of correlation r by Actual Mean Method.

Part 3:

In a camel race competition, two judges gave the following ranks.

Judge X	9	2	3	4	5	6	7	9
Judge Y	10	6	5	4	7	8	8	9

Find the Spearmans rank correlation for the above data and interpret the results.

X	R1	Y	R2	d=r1 r2	d2
9		10
2		6
3		5
4		4
5		7
6		8
7		8
9		9