# Question: When attempting to score a goal in soccer where should

When attempting to score a goal in soccer, where should you aim your shot? Should you aim for a goalpost (as some soccer coaches teach), the middle of the goal, or some other target? To answer these questions,

Chance (Fall 2009) utilized the normal probability distribution. Suppose the accuracy x of a professional soccer player's shots follows a normal distribution with a mean of zero feet and a standard deviation of 3 feet. (For example, if the player hits his target, x = 0; if he misses his target by 2 feet to the right, x = 2; and if he misses 1 foot to the left, x = -1.) Now, a regulation soccer goal is 24 feet wide. Assume that a goalkeeper will stop (save) all shots within 9 feet of where he is standing; all other shots on goal will score. Consider a goalkeeper who stands in the middle of the goal.

a. If the player aims for the right goalpost, what is the probability that he will score?

b. If the player aims for the center of the goal, what is the probability that he will score?

c. If the player aims for halfway between the right goal post and the outer limit of the goalkeeper's reach, what is the probability that he will score?

Chance (Fall 2009) utilized the normal probability distribution. Suppose the accuracy x of a professional soccer player's shots follows a normal distribution with a mean of zero feet and a standard deviation of 3 feet. (For example, if the player hits his target, x = 0; if he misses his target by 2 feet to the right, x = 2; and if he misses 1 foot to the left, x = -1.) Now, a regulation soccer goal is 24 feet wide. Assume that a goalkeeper will stop (save) all shots within 9 feet of where he is standing; all other shots on goal will score. Consider a goalkeeper who stands in the middle of the goal.

a. If the player aims for the right goalpost, what is the probability that he will score?

b. If the player aims for the center of the goal, what is the probability that he will score?

c. If the player aims for halfway between the right goal post and the outer limit of the goalkeeper's reach, what is the probability that he will score?

**View Solution:**## Answer to relevant Questions

Almost all companies utilize some type of year-end performance review for their employees. Human Resources (HR) at the University of Texas Health Science Center provides guidelines for supervisors rating their subordinates. ...What is a normal probability plot and how is it used? Refer to The Sport Journal (Winter 2007) article on a new method for ranking the driving performance of PGA golfers, presented in Exercise. In exercise Recall that the method incorporates a golfer's average driving distance ...In Exercise, you learned that 32% of all births in the United States occur by Caesarian section each year (National Vital Statistics Reports, Mar. 2010). In a random sample of 1,000 births this year, let x be the number that ...The optimal scheduling of preventative maintenance tests of some (but not all) of n independently operating components was developed in Reliability Engineering and System Safety (Jan. 2006). The time (in hours) between ...Post your question