This preview shows page 1. Sign up to view the full content.
Math 218
Quiz 2
1/29/09
Show Your Work!!!
1.
If it rains, there is an 80% chance that you will get wet.
The weather man said there
was a 40% chance of rain today.
A fortune cookie told you that there was a 60%
chance that you would get wet today.
Assuming the fortune cookie was correct,
a)
Are the events “get wet” and “rain” independent? Why or why not?
No,
P(“get wet”  “rain”) =
.8,
but P(“get wet”) =
.6
, if these events were
independent, then
these would be equal, but they are not, so they are not
independent.
b)
What is the probability that it rains today and you get wet?
P(“rain” and “get wet”) = P(“rain”)*P(“get wet”  “rain”) =
(.4)*(.8) =
.32
2.
A company uses three different assembly lines – A
1
, A
2
, A
3
– to manufacture a
particular component.
Of those manufactured by line A
1
, 5% need rework to remedy a
defect, where as 8% of A
2
’s components need rework and 10% of A
3
’s need rework.
Suppose that 50% of all components are produced by line A
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 02/13/2009 for the course MATH 218 taught by Professor Haskell during the Spring '06 term at USC.
 Spring '06
 Haskell
 Math, Probability

Click to edit the document details