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Part II Suppose the discrete random variable X has the following probability distribution. x -2 0...

Part II

  1. 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)

  1. (Sec. 4.4)
  1. Find the mean of the random variable X in Exercise 1 above.

  1. Find the variance of the random variable X in Exercise 1 above.

  1. 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.

  1. If a vehicle in 2005 was selected at random, find the probability that it is a light vehicle given that it uses diesel fuel.

  1. If a vehicle in 2005 was selected at random, find the probability that it uses gasoline given that it is not a medium truck.

Math   Statistics-And-Probability   
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