Show all work or no credit will be given. Make sure you are using Microsoft Word to open this assignment to make sure all tables are displayed correctly.

 

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 distribution’s most 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	6,666,667
Alex Cora	2,000,000
Coco Crisp	3,833,333
Manny Delcarmen	380,000
J.D. Drew	14,400,000
Jacoby Ellsbury	380,000
Eric Gagne	6,000,000
Eric Hinske	5,725,000
Bobby Keilty	2,100,000
Jon Lester	384,000
Javier Lopez	402,000
Mike Lowell	9,000,000
Julio Lugo	8,250,000
Daisuke Matsuzaka	6,333,333
Doug Mirabelli	750,000
Hideki Okajimi	1,225,000
David Ortiz	13,250,000
Jonathan Papelbon	425,000
Dustin Pedroia	380,000
Manny Ramirez	17,016,381
Curt Schilling	13,000,000
Kyle Snyder	535,000
Mike Timlin	2,800,000
Jason Viritek	11,000,000
Kevin Youkilis	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

 

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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