Probability of Male Smoker
This solution determines the likelihood of a randomly selected male participant being affected by nicotine from smoking, based on survey data.
Survey Data Analysis
The survey provides the following information specifically about men:
- Total number of men surveyed: 120
- Number of men found to be affected by nicotine (smokers): 38
Probability Calculation Method
Probability is calculated using the formula:
$ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} $
For this question, the event is selecting a male smoker.
- Number of favorable outcomes (men who smoke): 38
- Total number of possible outcomes (total men): 120
Men Smoker Probability Result
Applying the formula:
$ P(\text{Male Smoker}) = \frac{38}{120} $
Simplify the fraction:
$ P(\text{Male Smoker}) = \frac{19}{60} $
Convert to a decimal:
$ P(\text{Male Smoker}) \approx 0.3167 $
Rounded to two decimal places, the probability is 0.32.
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