# Calculating probabilities of the types of people who attend movies.

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Data ib west coast moviegoers in 2002 showed that 72.4% were male, 58.3% were under 25 years of age and 42.1% were males under 25 years of age. Let M=the event that the person is male and let A=the event that the person is under 25 years of age. Suggested to use a Venn Diagram.

A. What is the probability that the person is male or over 25 years of age.

B. What is the probability that the person is neither female nor under 25 years of age

C. What is the probability the person is under 25, given the person is female.

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##### Solution Summary

The following analyzes the probabilities that movie goers are of certain unique or combined types. A venn diagram is provided and all formulas as well.

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Data ib westcoast moviegoers in 2002 showed that 72.4% were male, 58.3% were under 25 years of age and 42.1% were males under 25 years of age. Let M=the event that the person is male and let A=the event that the person is under 25 years of age. Suggested to use a ...

###### 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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