Lab − Week 4Name:MATH221Statistical Concepts:ProbabilityBinomial Probability DistributionRecall that there are two approaches to probability that we covered chapter 3.
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ATTACHMENT PREVIEW Download attachmentStatistics – Lab − Week 4Name:MATH221Statistical Concepts:ProbabilityBinomial Probability DistributionRecall that there are two approaches to probability that we covered chapter 3.One being the theoretical(classical) approach, which gives us exact probabilities for events based on the elements of the sample spacehaving an equal likelihood of occurrence.The other is the empirical (statistical) approach, in whichprobabilities are found by experimentation.In this lab we will explore the binomial distribution a bit closer bycomparing the theoretical probabilities to those found by experimentation.The procedure: Flipping a fair coin 10 times.A success:A tail occurs1.Check the requirements of the binomial distribution for this experiment.Be specific with the requirementswith respect to the given procedure.Requirements:1.n =indep or depen2.S =F =3.p =constant? Yes or No4.x =xBinom ()
View the AnswerTheoretical Approach:2.Determine the probability distribution for this experiment by filling in the table below.Use the Statcrunch tofind the probabilities.XP(x)3.Find the following probabilities by using the table above or the online calculator:P(x ≥ 3)P(x < 6)P(7 < x ≤ 9)P(x < 0)P(x ≤ 4)P(x < 5 or x ≥ 7)4.Find the mean (μ), variance (σ2), and standard deviation (σ) for the binomial experiment by usingthebinomial formulas.Include the units. Round answers to one decimal place:Mean =Variance =Standard Deviation =