Soft drink preferences
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The table below shows the soft drinks preferences of people in three age groups.
cola Root beer Lemon-line
Under 21 years of age 40 25 20
Between 21 and 40 35 20 30
Over 40 years of age 20 30 35
If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given they drink root beer.
b) If one of the 225 subjects is randomly selected, find the probability that the selected person drinks root beer and is between 21 and 40.
c) If one of the 225 subjects is randomly selected, find the probability that the person does not drink root beer and is not between 21 and 40.
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Solution Summary
The soft drink preferences of people in three age groups are examined in the solution.
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a) If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given they drink root beer.
Solution. As there are 25+20+30=75 who drink root beer, and among them, 30 are over 40 years of age. So, the probability that the person is over 40 ...
Education
- 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!"
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- "Thank you very much for your valuable time and assistance!"
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