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A survey investigates the relation between the economic activity and gender. Let the random variable the economic activity of a (randomly selected) person in termns of dollars spent per year (in thousands) G be the gender of this (randomly selected) person taking a value of 0 for women and 1 for men. The s finds that the cumulative distribution function of the economic activity of women is given by FXIG(z | 0) r/100 for 0srs 10, %3!

A survey investigates the relation between the economic activity and gender. Let the random variable the economic activity of a (randomly selected) person in termns of dollars spent per year (in thousands) G be the gender of this (randomly selected) person taking a value of 0 for women and 1 for men. The s finds that the cumulative distribution function of the economic activity of women is given by FXIG(z | 0) r/100 for 0srs 10, %3!

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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Problem 5 (. A survey investigates the relation between the economic activity and gender. Let the random variable X be the economic activity of a (randomly selected) person in terms of dollars spent per year (in thousands). Let G be the gender of this (randomly selected) person taking a value of 0 for women and 1 for men. The study finds that the cumulative distribution function of the economic activity of women is given by' FxiG(z | 0) = r/100 for 0srs 10, and the cumulative distribution of the economic activity of men is given by FxG(r | 1) = 1/10 for 0srs 10. Additionally, 60% of the population is women i.e. P(G = 0) 0.6. Based on this information, answer the following questions. 1. What is the probability density function of the economic activity i.e. what is fx(x)? 2 2. Given that a person's economic activity is more than 5,000 dollars, what is the probability that this person is a man? In other words, find P(G 1|X 2 5). 3. What is the expected economic activity of a person i.e. what is E[X]?
Transcribed Image Text:Problem 5 (. A survey investigates the relation between the economic activity and gender. Let the random variable X be the economic activity of a (randomly selected) person in terms of dollars spent per year (in thousands). Let G be the gender of this (randomly selected) person taking a value of 0 for women and 1 for men. The study finds that the cumulative distribution function of the economic activity of women is given by' FxiG(z | 0) = r/100 for 0srs 10, and the cumulative distribution of the economic activity of men is given by FxG(r | 1) = 1/10 for 0srs 10. Additionally, 60% of the population is women i.e. P(G = 0) 0.6. Based on this information, answer the following questions. 1. What is the probability density function of the economic activity i.e. what is fx(x)? 2 2. Given that a person's economic activity is more than 5,000 dollars, what is the probability that this person is a man? In other words, find P(G 1|X 2 5). 3. What is the expected economic activity of a person i.e. what is E[X]?
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