Download
slide1 n.
Skip this Video
Loading SlideShow in 5 Seconds..
6.5 Applications of the Normal Distribution PowerPoint Presentation
Download Presentation
6.5 Applications of the Normal Distribution

6.5 Applications of the Normal Distribution

77 Vues Download Presentation
Télécharger la présentation

6.5 Applications of the Normal Distribution

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. 6.5 Applications of the Normal Distribution Objectives: By the end of this section, I will be able to… • Compute probabilities for a given value of any normal random variable. • Find the appropriate value of any normal random variable, given an area or probability.

  2. Bad college students! 1) The mean number of beers a male college student can drink before getting out of control is about 5 with a standard deviation of 1.8. If a college male is selected at random, what is the probability that the student drinks between 3 and 8 beers?

  3. College and Drinking P(drinking between 3 and 8) = ? ? 5 3 8

  4. College and Drinking P(drinking between 3 and 8) = ? We have to “standardize” it. Change the scores 3, 5, 8 to z-scores. ? Since 5 = it has a z-score of 0. 5 0 3 8

  5. College and Drinking P(drinking between 3 and 8) = ? 81.9% 0.9525 – 0.1335 = 0.8190 or 81.9% 0.9525 0.1335 5 0 3 8

  6. Curfews 2) In a recent study it was found that the number of minutes seniors stay out past curfew is an average of 35 minutes with a standard deviation of 7 minutes. If a senior is selected at random, what is the probability that the senior stayed out for more than 45 minutes?

  7. Curfews P(>45 minutes) = ? ? 35 45

  8. Curfews P(>45 minutes) = ? We have to “standardize” it. Change the scores 35 and 45 to z-scores. ? Since 35 = it has a z-score of 0. 35 0 45

  9. Curfews P(>45 minutes) = ? 7.64% 1 – 0.9236 0.0764 A = ? A = ? A = .9236 0

  10. Jeep Prices 3) The average price of a 2011 Jeep Wrangler is $33,100 with s = $2,000. Find the price that the bottom 25% of people pay.

  11. Jeep Prices P(?) = bottom 25% Go to Chart and find closest to A = 0.25 z = -0.67 is A = 0.2514 z = -0.68 is A = 0.2483 This one is 0.0017 away This one is 0.0014 away 25% 0.25 33,100 z = 0 z = ? z = -0.67

  12. Jeep Prices P(?) = bottom 25% The bottom 25% will pay $31,760. z = -0.67, so -0.67 -1,340 25% $31,760 33,100 z = 0 z = ? z = -0.67

  13. PRACTICE PROBLEMS • Pages 310 – 311 • #48, 50, 51, 53 • Do it on a separate sheet of paper. • Show all work and diagrams used.