The table below represents the results of a survey of 1600 people planning a Vac
ID: 2958724 • Letter: T
Question
The table below represents the results of a survey of 1600 people planning a Vacation in 2011 with respect to how they plan to get to their destination.Fly Drive Bus/Train
Less than 500 miles 150 600 200
More than 500 Miles 350 100 200
a.Given that a Vacationer will drive to their vacation this year, what is the probability that he/she will travel more than 500 Miles?
b.If a Vacationer is chosen at random, what is the probability that he/she will take the bus and travel more than 500 Miles?
c.If a Vacationer is chosen at random, what is the probability that he/she will drive to their vacation this year?
d.Given that a Vacationer will travel more than 500 Miles, what is the probability that he/she will take the Bus/Train?
e.If a Vacationer is chosen at random, what is the probability that he/she will travel more than 500 Miles and Fly?
f.If a Vacationer is chosen at random, what is the probability that he/she will take the Bus/Train or drive?
g.Given that a Vacationer will take the Bus/Train, what is the probability that he/she will travel less than 500 miles?
h.If a Vacationer is chosen at random, what is the probability that he/she will travel less than 500 miles to their vacation spot this year?
i.If a Vacationer is chosen at random, what is the probability that he/she will fly to their vacation spot or travel more than 500 miles?
j.Given that a Vacationer will Drive or take the Bus/Train, what is the probability that he/she will travel Less than 500 Miles?
Explanation / Answer
a.Given that a Vacationer will drive to their vacation this year, what is the probability that he/she will travel more than 500 Miles?
P(more than 500 |drive)=100/700=1/7
b.If a Vacationer is chosen at random, what is the probability that he/she will take the bus and travel more than 500 Miles?
P(bus and more than 500)=200/1600=1/8
c.If a Vacationer is chosen at random, what is the probability that he/she will drive to their vacation this year?
P(drive)=(600+100)/1600=700/1600=7/16
d.Given that a Vacationer will travel more than 500 Miles, what is the probability that he/she will take the Bus/Train?
P(bus |more than 500)=200/650=20/65=4/13
e.If a Vacationer is chosen at random, what is the probability that he/she will travel more than 500 Miles and Fly?
P(travel more 500 and fly)=350/65035/65=7/12
f.If a Vacationer is chosen at random, what is the probability that he/she will take the Bus/Train or drive?
P(bus or drive)=(400+700)/1600=11/16
g.Given that a Vacationer will take the Bus/Train, what is the probability that he/she will travel less than 500 miles?
h.If a Vacationer is chosen at random, what is the probability that he/she will travel less than 500 miles to their vacation spot this year?
P(less than 500 )=950/1600=95/160=19/32
i.If a Vacationer is chosen at random, what is the probability that he/she will fly to their vacation spot or travel more than 500 miles?
P(fly or travel more 500 miles)=(600+650)/1600=125/160=25/32
j.Given that a Vacationer will Drive or take the Bus/Train, what is the probability that he/she will travel Less than 500 Miles?
p( travel less 500 miles |drive or train)=(600+200)/(600+200+150)=80/95=16/19
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