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Probability of Smokers

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For questions 1 through 3 use the table below. The table shows the number of smokers and nonsmokers by gender among 220 people. Assume one person is chosen at random from the 220.

Smokers Nonsmokers Totals
Male 40 60 100
Female 40 80 120
Totals 80 140 220

1. If a smoker is chosen at random, the probability that the person is male is?

2. If a male is chosen at random, the probability that he is a smoker is

3. If one person is chosen at random from the 220 in the table above, the events of "Smoker" and "Male" are (i.e. independent , dependent or mutually event)

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Solution Summary

This solution contains step-by-step explanations and calculations to determine the probability of the gender of the smoker and other conditions.

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For questions 1 through 3 use the table below. The table shows the number of smokers and nonsmokers by gender among 220 people. Assume one person is chosen at random from the 220.

Smokers Nonsmokers Totals
Male 40 60 100
Female 40 80 ...

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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