September 28, 1999 Math 244 Solution to HW

 

 

3.9 p. 73. We need the c.d.f. of the random variable X the number of defective chips in the sample of

size 2.

X = x

0

1

2

P(X = x)

1/6

4/6

1/6

F(x)

1/6

5/6

6/6

F(x) = 0 if x < 0
= 1/6 if 0 £ x < 1

= 5/6 if 1 £ x < 2

= 1 if x ³ 2.