AnswerthefollowingquestionsaboutUniform Distribution..

1. Let'ssaythat astudent'sarrivaltimeforastatisticsclassisuniformlydistributedwheretheinstructor

canshowupatanytimebetween15minutesearlyand5minutes late.

1. Drawaprobabilitydensityfunctionfortheaboveproblem(pdf).

1. Whatistheprobabilitythestudentwillshowupbetween5minutesearlyandontime inclusive?

1. Whatistheprobabilitythestudentwillshowupbetween 5minutesearlyandontimenot inclusive?

1. Whatistheprobabilitythatthestudentshowsupexactly1minuteearlytoclass?

1. Whatarrivaltimecorresponds tothefirst quartile?

1. Whatarrivaltimecorrespondstothefifteenpercentile?(Thenumberrepresentingtheearliest 15 percent)

AnswerthefollowingquestionsaboutNormalDistribution.

1. Let'ssaythatastatisticsstudentcanfinishatest withameanof60minutesandastandarddeviation of 10 minutes.Assume that the data is normally distributed.
   1. Drawaprobabilitydensityfunctiondescribingthesituationabove.

1. Whatistheprobabilityitwilltakebetween 50and 70 minutes?

1. Whatistheprobabilityitwilltakeexactly60minutestofinishthe test?

1. Whatistheprobabilityitwilltakebetween40 and60minutestofinishthe test?

1. Whatisthemedianamountoftimeittakestofinishthetest?

1. Whattimecorrespondstothe16percentile?(Thetimethatrepresentsthefastest16percent)