S1123 Chapter 10 Solutions PDF

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Dr. Chien-Hsun Chang...

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EX 10.1

x

1

f(x)

1/6

2

3

1/6

1/6

4

5

6

1/6

1/6

1/6

EX 10.2 a) Since f x  0.6 , which is not between 0 and 1 inclusive, so it is NOT a probability distribution. b)

Since

EX 10.3 a)  

 f x   1.1  1 , so it is NOT a probability distribution.  x  f  x   00.05  10.4  20.3  3 0.2   4 0.05  1.8

A randomly selected household owns an average of 2 LED TVs. b)

f x  1 1 f x  0   1  0.05  0.95

c)

f x  2  f x  0  f x  1  f x  2  0.05  0.4  0.3  0.75

d)

f 1 x  4  f x  2  f x  3   0.3  0.2  0.5

EX 10.4 X  the profit for the insurance company by insuring the antique watch x f(x)

350 0.995

-24650 0.005

E X    x  f  x  3500.995   246500.005   225 The insurance company expects to earn a profit of 225 dollars by insuring this antique watch.

EX 10.5

 

 x  

2

 f  x 

 350  225 2 0.995   24650  225 20.005 

3109375 1736.34

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