Math Solutions

(Steps Shown) A random study of the smoking habits of students showed the following results. Sex Non-Smoker Regular Smoker Heavy Smoker Total Man 140 27 6

Question: A random study of the smoking habits of students showed the following results.

Sex Non-Smoker Regular Smoker Heavy Smoker Total
Man 140 27 6 173
Woman 187 20 12 219
Total 327 47 18 392


If a student is selected at random, find these probabilities.

a.  The probability the student is a woman given that they are a heavy smoker.
b.  Given that the student is male, the student is a non-smoker.
c.  What is the probability that a person is female and is a regular smoker?
d.  What is the probability that a student does not smoke?

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