Question
Part II Suppose the discrete random variable X has the following probability distribution. x -2 0...
Part II
- Suppose the discrete random variable X has the following probability distribution.
|
x |
-2 |
0 |
2 |
4 |
6 |
|
P(X=x) |
0.09 |
0.24 |
0.33 |
a |
0.14 |
Find the value of a so that this probability distribution is valid. (Sec. 4.3)
- (Sec. 4.4)
- Find the mean of the random variable X in Exercise 1 above.
- Find the variance of the random variable X in Exercise 1 above.
- Consider the following table for the number of automobiles in Canada in 2005 by vehicle type and fuel type. (Sec. 4.5)
|
Light Vehicles |
Medium Trucks |
Heavy Trucks |
Total |
|
|
Gasoline |
17,379,447 |
93,932 |
3,184 |
17,476,563 |
|
Diesel |
541,406 |
217,210 |
290,451 |
1,049,067 |
|
Other |
72,615 |
9,493 |
558 |
82,666 |
|
Total |
17,993,468 |
320,635 |
294,193 |
18,608,296 |
Her Majesty the Queen in Right of Canada (2007). 2005 Canadian Vehicle Survey, Summary Report. Natural Resources Canada’s Office of Energy Efficiency, Ottawa.
- If a vehicle in 2005 was selected at random, find the probability that it is a light vehicle given that it uses diesel fuel.
- If a vehicle in 2005 was selected at random, find the probability that it uses gasoline given that it is not a medium truck.
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