STAT 2507 Lecture Notes - Lecture 5: Bernoulli Trial, Sample Space, Random Variable

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Discrete random variables can describe many everyday applications but there is three probability distributions that serve as models for most of these applications. An experiment is considered a binomial experiment if it had the following characteristics: The experiment consists of n identical trials called bernoulli trials. Each trial results in one of two outcomes. These outcomes are referred to as success and. The probability of success on a single trial is equal to p and remains the same from trial to trial. The probability of failure is equal to (1-p)=q, also remains the same for all trials. We are interested in x, the number of successes observed during n trials, x=0,1,2,3,,n. Practical example on the shape of the binomial distribution. Draw a histogram for the following binomial experiments. Exercise 2 a student is writing a multiple choice test with 10 questions. A manufacturer of camera flash bars notes that defective flash bulbs are sometimes produced.