Statistics questions probability and distribution
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1. In 2007, the Boston Red Sox won the World Series for the second time in 4 years. Table below
gives salaries of the 25 players on the Red Sox World Series roster. Provide the team owner with
a full description of the distribution of salaries, including a box plot and if there is any skewness.
If there is any skewness, please state which one and provide explanation. Also briefly summarize
the distributionàmost important features, including the information from the box plot. (22
points)
Table 1: Salaries for the 2007 Boston Red Sox World Series team
Player
Salary ($)
Josh Beckett
Alex Cora
Coco Crisp
Manny Delcarmen
J.D. Drew
Jacoby Ellsbury
Eric Gagne
Eric Hinske
Bobby Keilty
Jon Lester
Javier Lopez
Mike Lowell
Julio Lugo
Daisuke Matsuzaka
Doug Mirabelli
Hideki Okajimi
David Ortiz
Jonathan Papelbon
Dustin Pedroia
Manny Ramirez
Curt Schilling
Kyle Snyder
Mike Timlin
6,666,667
2,000,000
3,833,333
380,000
14,400,000
380,000
6,000,000
5,725,000
2,100,000
384,000
402,000
9,000,000
8,250,000
6,333,333
750,000
1,225,000
13,250,000
425,000
380,000
17,016,381
13,000,000
535,000
2,800,000
Player
Salary ($)
Jason Viritek
Kevin Youkilis
11,000,000
424,000
2. Table below gives the following probabilities for a randomly chosen light motor vehicle sold at retail in
the United States:
Vehicle
Domestic
Imported
Total
Light Truck
0.44
0.08
0.52
Car
0.33
0.15
0.48
Total
0.77
0.23
1
a) Find the probability that a randomly selected vehicle is a light truck. (3 points)
b) Find the probability that a vehicle is a light truck, given the information that it is imported. (3 points)
In other words find:
??(??????????|????????????????).
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