Questions:

1. If x1=2,x2=1,x3=5,x4=0,x5=3,y1=4,y2=0,y3=2,y4=3,y5=1, find the value of

(i) x22+i=15(2yixi+i)

(ii) i=24(x2i2y2i)+10

(iii) i=13xi2yi

2.The probability distribution of a random variable X is given below:

x	0	1	2	3
p(x)	0.4	c	2c	3c

(i) Find the value of c.

(ii) Find the expected value of X, E(X).

(iii) Find the standard deviation of X.

(iv) Find the conditional probability, P(X is an even number | X is positive)