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 ATTACHMENT PREVIEW Download attachmentStatistics – Lab Week 4Name:____Allen Spiegel___________________MATH221Statistical Concepts:ProbabilityBinomial Probability DistributionCalculating Binomial ProbabilitiesOpen a new MINITAB worksheet.We are interested in a binomial experiment with 10 trials. First, we will make theprobability of a success ¼. Use MINITAB to calculate the probabilities for thisdistribution. In column C1 enter the word ‘success’ as the variable name (in theshaded cell above row 1. Now in that same column, enter the numbers zero throughten to represent all possibilities for the number of successes. These numbers will endup in rows 1 through 11 in that first column.In column C2 enter the words ‘onefourth’ as the variable name. Pull upCalc > Probability Distributions > Binomialand select the radio button that corresponds toProbability. Enter 10 for theNumberof trials:and enter 0.25 for theEvent probability:. For theInput column:select‘success’ and for theOptional storage:select ‘one fourth’. Click the buttonOKandthe probabilities will be displayed in the Worksheet.Now we will change the probability of a success to ½. In column C3 enter the words‘one half’ as the variable name. Use similar steps to that given above in order tocalculate the probabilities for this column.The only difference is inEventprobability:use 0.5.Finally, we will change the probability of a success to ¾. In column C4 enter thewords ‘three fourths’ as the variable name.Again, use similar steps to that givenabove in order to calculate the probabilities for this column. The only difference is inEvent probability:use 0.75.Plotting the Binomial Probabilities1.Create plots for the three binomial distributions above.SelectGraph > Scatter PlotandSimplethen for graph 1 set Y equal to ‘one fourth’ and X to ‘success’ by clickingon the variable name and using the “select” button below the list of variables.Do thistwo more times and for graph 2 set Y equal to ‘one half’ and X to ‘success’, and for

View the Answergraph 3 set Y equal to ‘three fourths’ and X to ‘success’.Paste those three scatterplots below.Calculating Descriptive StatisticsOpen the class survey results that were entered into the MINITAB worksheet.2.Calculate descriptive statistics for the variable where students flipped a coin 10 times.Pull upStat > Basic Statistics > Display Descriptive Statisticsand setVariables:tothe coin. The output will show up in your Session Window.Type the mean and thestandard deviation here.Mean:Standard deviation:Short Answer Writing Assignment – Both the calculated binomial probabilities and thedescriptive statistics from the class database will be used to answer the followingquestions.3.List the probability value for each possibility in the binomial experiment that wascalculated in MINITAB with the probability of a success being ½. (Completesentence not necessary)P(x=0)P(x=6)P(x=1)P(x=7)P(x=2)P(x=8)P(x=3)P(x=9)P(x=4)P(x=10)P(x=5)4.Give the probability for the following based on the MINITAB calculations with theprobability of a success being ½. (Complete sentence not necessary)P(x≥1)P(x<0)

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