3.) Consider the following two-way classification of 500 individuals: Prominent Wrinkles 95 Wrinkles Not Prominent 55 Heavy Smoker Light or Nonsmoker 100 250 One individual is selected at random. a.) Given that the individual is a heavy smoker, what is the probability that he/she has prominent wrinkles? b.) What is the probability that the selected individual is a heavy smoker or has prominent wrinkles?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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3.) Consider the following two-way classification of 500 individuals:
Prominent Wrinkles
Wrinkles Not Prominent
Heavy Smoker
Light or Nonsmoker
95
55
100
250
One individual is selected at random.
a.) Given that the individual is a heavy smoker, what is the probability that he/she has prominent
wrinkles?
b.) What is the probability that the selected individual is a heavy smoker or has prominent wrinkles?
Transcribed Image Text:3.) Consider the following two-way classification of 500 individuals: Prominent Wrinkles Wrinkles Not Prominent Heavy Smoker Light or Nonsmoker 95 55 100 250 One individual is selected at random. a.) Given that the individual is a heavy smoker, what is the probability that he/she has prominent wrinkles? b.) What is the probability that the selected individual is a heavy smoker or has prominent wrinkles?
Expert Solution
Step 1

3.

Given:

Total=500Number of heavy smokers=150Number of light or nonsmoker=350Number of prominent wrinkles=195Number of wrinkles not prominent=305

a)

The probability that he/she has prominent wrinkles given that the individual is a heavy smoker is obtained as below:

PProminent wrinkles|heavy smoker=PProminent wrinklesheavy smokerPheavy smoker=95500150500=95150=0.6333

Thus, the probability that he/she has prominent wrinkles given that the individual is a heavy smoker is 0.6333.

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