ESSENTIALS OF STATISTICS-W/APLIA
ESSENTIALS OF STATISTICS-W/APLIA
4th Edition
ISBN: 9781305611177
Author: HEALEY
Publisher: CENGAGE L
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Chapter 4, Problem 4.9P

S O C The price of a gallon of regular gas for 20 nations is reported below. Compute the mean, median, range, interquartile range and the standard deviation for this variable, and write a paragraph summarizing these statistics.

Nation Cost of a gallon of Gasoline (U.S dollars) in 2013
1 Norway 10.08
2 Italy 8.61
3 France 8.13
4 Finland 8.05
5 Ireland 7.79
6 United Kingdom 7.75
7 South Korea 6.44
8 Japan 5.90
9 Argentina 5.38
10 South Africa 4.94
11 India 4.74
12 Canada 4.67
13 China 4.67
14 Colombia 4.52
15 United States 3.66
16 Mexico 3.43
17 Russia 3.39
18 Malaysia 2.31
19 Nigeria 2.27
20 Egypt 1.00

Source: http://www.bloomberg.com/visual-data/gas-prices/20133:South%20Africa:USD:g

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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy      | 1       2      4       8      16p(y) | .05   .10   .35   .40   .10 a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x)=0.00  :  x < 10.30  :  1≤x<30.40  :  3≤ x < 40.45  :  4≤ x <60.60  :  6≤ x < 121.00  :  12≤ x a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).
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