MATH221 Statistics � Lab Week 4

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MATH221Statistics–Lab Week 4Name:_______________________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 tocalculatetheprobabilitiesforthiscolumn.TheonlydifferenceisinEventprobability: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

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