48. An experiment consists of first performing a task in which
A
,
B
, or
C
can occur. Then, a second task is performed in which
D
or
E
can occur. The following probabilities are known:
P
(
A
) = 0
.
3,
P
(
C
) = 0
.
5,
P
(
D

A
) = 0
.
25,
P
(
E

B
) = 0
.
7,
P
(
D

C
) = 0
.
64.
Find the following:
(a)
P
(
E
)
(b)
P
(
B

E
)
(c)
P
(
A
∪
D
)
49. The scores on an English exam were normally distributed with a mean of 65 and a standard deviation of 5. If 10% of the class
received an
A
on the exam and 15% of the class received a
B
on the exam, what was the cutoff for a
B
?
50. Solve the following linear programming problem:
Minimize
C
= 2
x
+ 4
y
Subject to
0
.
1
x
+ 0
.
1
y
≥
1
x
+ 2
y
≥
14
x
≥
0
, y
≥
0
51. Brian has decided to purchase an engagement ring for his girlfriend.
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 Fall '08
 JillZarestky
 Normal Distribution, Standard Deviation, Optimization, Dice, following linear programming, Fair SixSided Dice

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