Menu Close

Category: Probability and Statistics

A-multiple-choice-quiz-has-200-questions-each-with-4-possible-answers-of-which-only-1-is-the-correct-answer-What-is-the-probability-that-sheer-guesswork-yields-from-25-to-30-correct-answer-for-8

Question Number 133021 by liberty last updated on 18/Feb/21 Amultiplechoicequizhas200questionseachwith4possibleanswersofwhichonly1isthecorrectanswer.Whatistheprobabilitythatsheerguessworkyieldsfrom25to30correctanswerfor80ofthe200problemsaboutwhich$$\mathrm{the}\:\mathrm{student}\:\mathrm{has}\:\mathrm{no}\:\mathrm{knowledge}?\: \

John-and-Ghina-have-a-date-at-a-given-time-and-each-will-arrive-at-the-meeting-place-with-a-delay-between-0-and-1-hour-with-all-pairs-of-delays-being-equally-likely-The-first-arrive-will-wait-for-1

Question Number 132548 by liberty last updated on 15/Feb/21 JohnandGhinahaveadateatagiventime,andeachwillarriveatthemeetingplacewithadelaybetween0and1hour,withallpairsofdelaysbeingequallylikely.Thefirstarrivewillwaitfor15minutesandwillleaveif$$\mathrm{the}\:\mathrm{other}\:\mathrm{has}\:\mathrm{not}\:\mathrm{yet}\:\mathrm{arrived}.\:\mathrm{What} \

A-conservative-design-team-call-it-C-and-innovative-design-team-call-it-N-are-asked-to-separately-design-a-new-product-within-a-month-From-past-experience-we-know-that-a-The-probability-that-te

Question Number 132551 by liberty last updated on 15/Feb/21 Aconservativedesignteam,callitCandinnovativedesignteamcallitN,areaskedtoseparatelydesignanewproductwithinamonth.Frompastexperienceweknowthat(a)TheprobabilitythatteamCissuccessfulis2/3(b)TheprobabilitythatteamNissuccessful1/2$$\left(\mathrm{c}\right)\:\mathrm{The}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one} \

The-number-of-hits-per-minute-on-a-website-is-0-8-It-is-shown-that-the-time-T-between-two-successive-hits-follows-a-negative-exponential-distribution-f-t-0-8e-0-8t-t-0-It-is-required-to-

Question Number 973 by Yugi last updated on 10/May/15 Thenumberofhitsperminuteonawebsiteis0.8.ItisshownthatthetimeTbetweentwosuccessivehitsfollowsanegativeexponentialdistributionf(t)=0.8e0.8t(t0).Itisrequiredtodeterminetheprobabilitythatthetimebetweenthe1sthitandthe51stexceedsonehour.OneapproachtothecalculationstatedthattherequiredprobabilityisP(no.ofhitsin60mins<50)()Cananyoneexplaintomewhyitisthat$${P}\left({time}\:{between}\:\mathrm{1}{st}\:{hit}\:{and}\:\mathrm{51}{st}\:{hit}\:>\:\mathrm{60}{mins}\right)=\:\left(\ast\right)\:?…