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Study Guide for Exam 2 – Chapters 4, 5, 6 Chapter 4 Go over the take home on chapter 4. The test will contain questions from chapters 5 and 6 but you need to know concepts from chapter 4 to find probabilities in chapters 5 and 6. Chapter 5 Section 5.1 Distinguish between discrete and continuous variables. For a given situation indicate what are the possible values of the random variable. Given a frequency table, determine the probability distribution of the random variable Construct the probability histogram for the random variable. What are the requirements for a probability distribution? Use the probability distribution to find probabilities. Section 5.3 Evaluate factorials with the calculator Evaluate binomial coefficients with the calculator What is a binomial experiment? What conditions must be satisfied by Bernoulli trials? For a binomial experiment: develop tree diagrams, write the sample space find the probabilities of each one of the outcomes in the sample space using these results, construct a probability distribution for the random variable Given a Bernoulli experiment, find probabilities with the binomial probability formula Given a Bernoulli experiment, find probabilities with the shortcut in the calculator binompdf(n,p,x) Given a Bernoulli experiment, find probabilities with the program binomial83 in the calculator Identify the shape of a binomial distribution according to the value of p (probability of success) Find the mean of a binomial random variable Find the standard deviation of a binomial random variable Use the binomial probability formulas to approximate probabilities of hypergeometric distributions. Chapter 6 Section 6.1 What is a normally distributed variable? What are the parameters of a normally distributed variable? Basic properties of normal distributions Given the mean and standard deviation, sketch the normal curve Relationship between probabilities/percentages, and areas under the normal curve. Basic properties of the standard normal distribution Section 6.2 – Standard normal curve Using the standard normal table to find areas Areas to the left of a given z score Areas to the right of a given z score Areas between any two given z scores Using the standard normal table to find z scores Find the z score if you are given an area to the left Find the z score if you are given an area to the right Find z (z sub alpha) Section 6.3 – Normal curves, the general case For any normally distributed variable, find areas under the normal curve To the right, left or between any two values of the variable. Finding areas under the normal curve using the shortcut in the calculator Normalcdf( Finding areas under the normal curve using the normal83 program The 68.26 - 95.44 - 99.74 rule Given an area/probability/percentage, determine a z-score Given an area/probability/percentage, determine a score Determine deciles and percentiles. Finding scores and percentiles with the shortcut in the calculator invNorm( Finding scores and percentiles with the invnor83 program Section 6.5 What are the requirements to be able to use the normal distribution to approximate a binomial distribution Find the continuity correction factor Using the normal distribution to approximate a binomial distribution