1. Find the Probability of Hitting Over 0.400 in Baseball in the Last 20 Years

MDM 4U – Worksheet Probability

1. Find the probability of hitting over 0.400 in baseball in the last 20 years - http://www.baseball- reference.com/leaders/BA_leagues.shtml

2. Find the probability of hitting more than 70 home runs in a year in the last 20 years - http://www.baseball- reference.com/leaders/HR_leagues.shtml

3. A cereal manufacturer finds that the mass of cereal in their packages is normally distributed with a mean of 200 g and a standard deviation of 16.3 g.

a) If a container with less than 170 g is considered below standard, what proportion of cereal packages would be rejected?

b) What is the probability that a package chosen at random has a mass between 180 and 220 g? [3] c) Out of 500 packages, how many have a mass greater than 230?

4. A firm that conducts business with a ISO 9000 company has done a statistical analysis on its production levels and have found that the mean width of a product is 32 cm with a standard deviation of 0.02 cm. The international standard is to have a 98% quality rate. The company knows that the cost of purchasing new equipment is $120 000 and the standard deviation would be reduced to 0.017. If the acceptable range is 31.95＃X 32.05 and this firm makes 10 000 products a year, then find the following:

a) is this company qualified to deal with the ISO 9000 company?

b) how many products are being produced that can be sold?

[2] c) with the new equipment, how many products can be sold?

d) in your opinion, should the new equipment be purchased? Explain your answer.

5. Why is Wayne Gretzky considered to be the best hockey player that ever played the game. Use the statistics from the following sites and give evidence to support your conclusion on whether he should be considered the best hockey player ever to play the game.

http://www.hockeydb.com/ihdb/stats/pdisplay.php?pid=2035

http://www.nhl.com/ice/playerstats.htm