The table below shows the number of survey subjects who have received and not re

Question

The table below shows the number of survey subjects who have received and not received a speeding ticket in the last year, and the color of their cars. Red Car Not Red Car Total Speeding Ticket No Speeding Ticket Total 126 310 93 252 219 562 184 159 343 Find the probability that a randomly chosén person: a) Has a red car. b) Has a speeding ticket. c) Has a speeding ticket given they have a red car. d) Has a red car given they have a speeding ticket. e) Has a red car and got a speeding ticket. f2 Has a red car or got a speeding ticket. Write your answers in decimal form, rounded to the nearest thousandth.

Explanation / Answer

Solution :

From given table,

a) P(has a red car) = 310 / 562 = 0.552

b) P(has a speeding ticket) = 343 / 562 = 0.610

c) P(speeding ticket | red car) = 184 / 310 = 0.594

d) P(red car | speeding ticket) = 184 / 343 = 0.536

e) P(red car and speeding ticket) = 184 / 562 = 0.327

f) P( red car or speeding ticket)

= P(red car) + P(sppeding ticket) - P(red car and sppeding ticket)

= 310 / 562 + 343 / 562 - 184 / 562

= (310 + 343 - 184) / 560

= 469 / 560

= 0.838

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