95 Views

Download Presentation
##### The Normal Distribution

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**The Normal Distribution**Lake Maggiore, St. Petersburg, Florida**Alligators are only native to the United States and China.**The mean length of an American adult male is 11.2 feet with a standard deviation of 2.06 feet and an approximately normal distribution. What proportion of adult males are less than 9 feet? ̶ 1.07 P(x < 9) = .1428**The mean length of an American adult male is 11.2 feet with**a standard deviation of 2.06 feet. The largest alligator recorded in Florida was 17.4 feet. What is the probability an adult male alligator is more than 17 feet? 2.82 P(x > 17) = .0024**The mean length of an American adult male is 11.2 feet with**a standard deviation of 2.06 feet. What is the probability an adult male alligator is between 12 and 14 feet long? .39 1.36 P(12 < x < 14) = .2618**The mean length of an American adult male is 11.2 feet with**a standard deviation of 2.06 feet. What is the cut off length for the largest 15% of American alligators? .15 x 11.2 x = 13.34 feet**In China, the alligator is extremely endangered and can only**be found along the Yangtze River. The average length of the Chinese alligator is 5 feet with a standard deviation of 0.67. Chinese legend says that the largest Chinese alligator was measured to be 10 feet long. The largest alligator recorded in the U.S. was an alligator from Louisiana that measured 19 feet 2 inches. N(11.2, 2.06)**In China, the alligator is extremely endangered and can only**be found along the Yangtze River. The average length of the Chinese alligator is 5 feet with a standard deviation of 0.67. Chinese legend says that the largest Chinese alligator was measured to be 10 feet long. The largest alligator recorded in the U.S. was an alligator from Louisiana that measured 19 feet 2 inches. N(11.2, 2.06) Which alligator measures to be in the highest percentile for their country?**Chinese: 10 feet N(5, .67)**American: 19 feet 2 inches N(11.2, 2.06) Which alligator measures to be in the highest percentile for their country?