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• understand what is meant by a discrete probability distribution; • be able to find the mean and variance of a distribution; • be able to use the uniform distribution. 4.0 Introduction The definition ' X = the total when two standard dice are rolled' is an example of a random variable, X, which may assume any of
A discrete probability distribution function has two characteristics: Each probability is between zero and one, inclusive. The sum of the probabilities is one. Example 4.1. A child psychologist is interested in the number of times a newborn baby's crying wakes its mother after midnight.
4 Discrete Probability Distributions (P.41) Last week we have learned that probability (or chance) plays an important role in many real world problems. For example, a health department wishes to know the probability of contacting a particular disease. It is therefore important to study how the probabilities are associated with experimental data.
examine two of the most important examples of discrete random variables: the binomial and Poisson distributions. The Poisson distribution can be deduced from the binomial distribution and is often used as a way of finding good approximations to the binomial probabilities. The binomial is a finite discrete random variable whereas the Poisson
Discrete Probability Distributions Examples Example (1) Two balanced dice are rolled. Let X be the sum of the two dice. Obtain the probability distribution of X. Solution When the two balanced dice are rolled, there are 36 equally likely possible outcomes as shown below: )
Use the Poisson distribution to find the probability that the company makes a profit from the 1300 policies. Use the binomial distribution to find the probability that the company makes a profit from the 1300 policies, then compare the result to the result found in part (b).
Discrete Probability Distributions using PDF Tables. EXAMPLE D1: Students who live in the dormitories at a certain four year college must buy a meal plan. They must select from four available meal plans: 10 meals, 14 meals, 18 meals, or 21 meals per week.
