224 CHAPTER 4 Discrete Probability Distributions 4 Chapter Summary Example(s) Review Exercises What Did You Learn? Section 4.1 How to distinguish between discrete random variables and continuous random variables 1 1, 2 How to construct and graph a discrete probability distribution 2 3, 4 How to determine whether a distribution is a probability distribution 3, 4 5, 6 How to find the mean, variance, and standard deviation of a discrete probability distribution m = ΣxP1x2 Mean of a discrete random variable s 2 = Σ1x - m2 2P1x2 Variance of a discrete random variable s = 2s 2 = 2Σ1x - m2 2P1x2 Standard deviation of a discrete random variable 5, 6 7, 8 How to find the expected value of a discrete probability distribution 7 9, 10 Section 4.2 How to determine whether a probability experiment is a binomial experiment 1 11, 12 How to find binomial probabilities using the binomial probability formula, a binomial probability table, and technology 2, 4–6 13–16, 23, 26 How to construct and graph a binomial distribution 3, 7 17, 18 How to find the mean, variance, and standard deviation of a binomial probability distribution m = np Mean of a binomial distribution s 2 = npq Variance of a binomial distribution s = 2npq Standard deviation of a binomial distribution 8 19, 20 Section 4.3 How to find probabilities using the geometric distribution 1 21, 24 How to find probabilities using the Poisson distribution 2, 3 22, 25 Study Strategies Avoiding Procrastination When you delay doing tasks or do not do tasks in a timely manner, you are procrastinating. Here are some tips to help you reduce how much you procrastinate. • Address what is causing the procrastination. If you are afraid of failure because a task seems confusing or difficult, ask for clarification or help. If the task seems too large or overwhelming, break it into smaller tasks and set reasonable goals. • Think about the long-term effects. Procrastinating can affect your sleep, your stress level, and your other work. • Just get started. The simple act of starting a task makes it easier to continue. Putting in some effort, even a minimal amount, can produce positive results. • Perform first the task you want to avoid doing the most. • Know your distractions and avoid them until after you have finished your work. For more information, visit Skills for Success in the accompanying MyLab course.
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