Researchers were interested in whether uniform colors give athletes an advantage.To investigate this question, they considered 457 boxing, tae kwon do, Greco-Roman wrestling, and freestyle wrestling matches in the 2004 Olympic Games, in which the competitors were randomly assigned to wear either red or blue.We can model this situation with a binomial random variable X = number of wins by players wearing red.If we assume that uniform color has no effect on the competitor's chances of winning, and that the matches are independent, what is the expected number of matches won by the players wearing red in this situation? Round up to the nearest whole number.
A) 114
B) 229
C) 320
D) 457

Question

Quizplus · Accepted Answer

Since each competitor has a 50/50 chance of winning and there were 457 matches, we would expect half of the matches to be won by players wearing red. Therefore, the expected number of matches won by players wearing red is 457/2, which is approximately 229.

Researchers Were Interested in Whether Uniform Colors Give Athletes an Advantage.To