4. Normal Distributions

Topics and Notes

1. Standard normal distribution
• A. The struncture of the standard normal distribution table
• B. Using the normal table to find probabilities for given quantiles
• C. Using the normal table to find quantile for a given quantile and probability.
• D. Tip: draw a density curve and label given information on it.
2. General normal distribution
• A. Transforming general normal distribution to standard normal using $z = (x-\mu)/\sigma$
• a. Finding probabilities
• b. Finding percentiles
• c. Tip: draw two density curves for X and Z respectively and label given information on the density curve of X and transformed information on the density curve of Z.
3. Lecture Note
• a. [Lecture Note] Applications of normal distributions: HTML PDF

Practice and Interactive Apps

1. Practice Exercises #4 WEB LINK
2. [Optional]Read section 7.1 and 7.2 of Navidi's textbook
3. Interactive Statistics Learning Apps:
• a. Use of standard normal distribution table INTERACTIVE APPS
• b. Finding probabilities and percentiles (quantiles) based on normal distributions (including standard normal distribution)INTERACTIVE APPSF

Weekly Assignments

1. This week's Assignment (Weekly quiz)
   • a. Available on D2L: 12:00 PM, Thursday
   • b. Due: 11:30 PM, Sunday