There are two traffic lights on a commuter's route to and from work. Let X 1 be the number of lights at which the commuter must stop on his way to work, and X 2 be the number of lights at which he...


There are two traffic lights on a commuter's route to and from work. LetX
1 be the number of lights at which the commuter must stop on his way to work, andX
2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (soX
1,X
2 is a random sample of sizen = 2).

















x
1
012

p(x
1)		0.10.20.7

? = 1.6, ?2 = 0.44



(a)


Determine the pmf ofT

o
 =X
1 +X
2.





















to

01234

p(to
)





(b)


Calculate ?
T
o
.

?
T
o
 =

How does it relate to ?, the population mean?

?
T
o

=     · ?





(c)


Calculate ?
T
o

2.

?
T
o

2 =

How does it relate to ?2, the population variance?

?
T
o

2
=      · ?2




Jun 07, 2022
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