Question

Sidney Crosby is a Major League Hockey player and a two-time Olympic gold medalist with Canada’s men’s hockey team. Consider the experiment of Crosby’s game scores. There are five experimental outcomes: He is not scoring, he scores two points, he scores three points, he scores maximum score of four points. Define the random variable x as the number of points that Crosby scores on a particular championship.

Sidney Crosby’s score statistics for the regular 2007 championship season were used to construct the following table:

Experimental Outcome (x)

0

1

2 28 33 4 10

a. Use the relative frequency method to create an empirical discrete distribution and assign

Number of Occurrences during the 2007 Season

358 175

probabilities to each outcome.

b. Calculate the E(x). [Note: For your calculation, use values of f(x) rounded to three decimal places.]

c. Calculate the standard deviation of the random variable x.

d. Suppose that you are responsible for selecting players for an all-star hockey team, and you have to choose between Sidney Crosby and Alex Ovechkin, a great hockey player with the Washington Capitals. You develop a probability distribution for Alex Ovechkin and find that E(x) = 0.514 and σ = 0.959. You are looking for the player who is more likely to

help the team score runs. What do you do?

Answer 1