MATH 340,
Quiz
7
Name: (print) ------=S=---_M
__
... _�_uJ_·_� ______ _
Each problem is worth 2 points. Show all your work.
1. The probability density function of X, the lifetime of a certain type of elctronic device (measured
in hours), is given by
(a) Find
P(X > 20).
f(x) = {
�'
0,
> 10
otherwise.
X
(b) Find the cumulative distribution function of X.
eo-,J 'P(x>�),,.
J
o-
:)a •
10
"f.'1-
J
'f.
Gl f
2. A point is chosen at random on a line segment of length
0
L. Interpret this statement, and find
the probability that the ratio of the shorter to the longer segment is less than
¼.
t--f { -----ti
o
+t-'
�L-
r(
L
X
tI I
Please turn over...
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