MTHE 224 Lecture Notes - Random Variable, Negative Binomial Distribution, Matlab

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

Document Summary

Goals: study binomial distributions, study probabilities of continuous random variables. Suggested textbook readings: chapter 3: 3. 4-3. 5, chapter 4: 4. 1-4. 2. Many experiments result in outcomes that can be classi ed in one of the two categories, success or failure. The binomial random variable x associated with a binomial experiment consisting of n trials is de ned as x = the number of s"s among the trials. The binomial distribution need two parameters: n, the number of trials, p, the probability of one of the outcomes (usually the success) Knowing n and p, we can compute directly the probability of x successful trials (pmf), denoted by b(x; n, p), x%px(1 p)n x, b(x; n, p) = . 0, x = 0, 1, 2, , n otherwise. Binomial distribution is often denoted by x bin(n, p). Example 1: (example 3. 32, page 112) suppose that 20% of all copies of a textbook fail a certain binding strength test.