Complete the problems below from the textbook. You will need to use the "Baseball 2016 Data," "Lincolnville School District Bus Data," and the "Century National Bank Data" files for this assignment.The files are located in the topic resources.

1. Chapter 6 - Problem 45
2. Chapter 6 - Problem 71
3. Chapter 7 - Problem 53
4. Chapter 7 - Problem 55
5. Chapter 7 - Problem 76
6. Chapter 7 Case A - Century National Bank

For problems requiring computations, please ensure that your Excel file includes the associated cell computations and/or statistics output. This information is needed in order to receive full credit on these problems.

Submit output in one Excel file.

45) AnauditorforHealthMaintenanceServicesofGeorgiareports40%ofpolicyholders55yearsoroldersubmitaclaimduringtheyear.Fifteenpolicyholdersarerandomlyselectedforcompanyrecords.

1. Howmanyofthepolicyholderswouldyouexpecttohavefiledaclaimwithinthelastyear?
2. Whatistheprobabilitythat10oftheselectedpolicyholderssubmittedaclaimlastyear?
3. Whatistheprobabilitythat10ormoreoftheselectedpolicyholderssubmittedaclaimlastyear?
4. Whatistheprobabilitythatmorethan10oftheselectedpolicyholderssubmittedaclaimlastyear?

71) RefertotheBaseball2016data (https://docs.google.com/spreadsheets/d/1q_YE14ykdt0K-p5dg9jtyZbVpetbBCb8sV8-7tr0gSo/edit?usp=sharing).Computethemeannumberofhomerunspergame.Todothis,firstfindthemeannumberofhomerunsperteamfor2016.Next,dividethisvalueby162(aseasoncomprises162games).Thenmultiplyby2becausetherearetwoteamsineachgame.UsethePoissondistributiontoestimatethenumberofhomerunsthatwillbehitinagame.Findtheprobabilitythat:

1. Therearenohomerunsinagame.
2. Therearetwohomerunsinagame.
3. Thereareatleastfourhomerunsinagame.

53) ManagementatGordonElectronicsisconsideringadoptingabonussystemtoincreaseproduction.Onesuggestionistopayabonusonthehighest5%ofproductionbasedonpastexperience.Pastrecordsindicateweeklyproductionfollowsthenormaldistribution.Themeanofthisdistributionis4,000unitsperweekandthestandarddeviationis60unitsperweek.Ifthebonusispaidontheupper5%ofproduction,thebonuswillbepaidonhowmanyunitsormore?

54) FastServiceTruckLinesusestheFordSuperDutyF-750exclusively.Managementmadeastudyofthemaintenancecostsanddeterminedthenumberofmilestraveledduringtheyearfollowedthenormaldistribution.Themeanofthedistributionwas60,000milesandthestandarddeviation2,000miles.

1. WhatpercentoftheFordSuperDutyF-750slogged65,200milesormore?
2. Whatpercentofthetrucksloggedmorethan57,060butlessthan58,280miles?
3. WhatpercentoftheFordstraveled62,000milesorlessduringtheyear?
4. Isitreasonabletoconcludethatanyofthetrucksweredrivenmorethan70,000miles?Explain.

55) BestElectronicsInc.offersa"nohassle"returnspolicy.Thedailynumberofcustomersreturningitemsfollowsthenormaldistribution.Themeannumberofcustomersreturningitemsis10.3perdayandthestandarddeviationis2.25perday.

1. Foranyday,whatistheprobabilitythateightorfewercustomersreturneditems?
2. Foranyday,whatistheprobabilitythatthenumberofcustomersreturningitemsisbetween12and14?
3. Isthereanychanceofadaywithnocustomerreturns?

76) RefertotheLincolnvilleSchoolDistrictbusdata (https://docs.google.com/spreadsheets/d/1PoCCby_aLMEwl9-IPP9uC-6qrbt2kD3O7tXvDaZbTeg/edit?usp=sharing).

1. Refertothemaintenancecostvariable.Themeanmaintenancecostforlastyearis$4,552withastandarddeviationof$2332.Estimatethenumberofbuseswithamaintenancecostofmorethan$6,000.Comparethatwiththeactualnumber.Createafrequencydistributionofmaintenancecost.Isthedistributionnormallydistributed?
2. Refertothevariableonthenumberofmilesdrivensincethelastmaintenance.Themeanis11,121andthestandarddeviationis617miles.Estimatethenumberofbusestravelingmorethan11,500milessincethelastmaintenance.Comparethatnumberwiththeactualvalue.Createafrequencydistributionofmilessincemaintenancecost.Isthedistributionnormallydistributed?

Case Study A.CenturyNationalBank

RefertotheCenturyNationalBankdata (https://docs.google.com/spreadsheets/d/1HHeMsJihY5ZUyBbw2MgSTB5XN43G5_hvuuIwEZ-z6PI/edit?usp=sharing).Isitreasonablethatthedistributionofcheckingaccountbalancesapproximatesanormalprobabilitydistribution?Determinethemeanandthestandarddeviationforthesampleof60customers.Comparetheactualdistributionwiththetheoreticaldistribution.Citesomespecificexamplesandcommentonyourfindings.

Dividetheaccountbalancesintothreegroups,ofabout20each,withthesmallestthirdofthebalancesinthefirstgroup,themiddlethirdinthesecondgroup,andthosewiththelargestbalancesinthethirdgroup.Next,developatablethatshowsthenumberineachofthecategoriesoftheaccountbalancesbybranch.Doesitappearthataccountbalancesarerelatedtothebranch?Citesomeexamplesandcommentonyourfindings.