MTHE 224 Lecture Notes - Matlab, Standard Deviation, Random Variable

• School: Queen's University
• Department: Mathematics & Engineering Courses
• Course: MTHE 224
• Professor: Prof.

Document Summary

Goals: study normal and standard normal distributions, introduce con dence intervals, study con dence intervals based on normal distributions. Suggested textbook readings: chapter 4: 4. 3, 4. 6 chapter 7: 7. 1. It turns out that when n is large, the binomial distribution starts to look like a normal distribution. If you have a large number of samples, you can approximate the (discrete) binomial distribution by the (continuous) normal distribution. Before you do this, you must check that n is large enough. If np, n(1 p) 10, n is considered large enough. If x bin(n, p) with np 10 and n(1 p) 10, then a normal. Proposition: approximation to the binomial distribution may be used. P (x x) = b(x; n, p) ( area under the normal curve to the left of (x + 0. 5)) Example 1: suppose princess street has 50 parking spots on it. A parking spot is empty with probability 0. 2.