## Solution for problem 19 Chapter 5

# Let F be a CDF which is continuous and strictly increasing. Let be the mean of the

Introduction to Probability | 1st Edition

Let F be a CDF which is continuous and strictly increasing. Let be the mean of the distribution. The quantile function, F 1, has many applications in statistics and econometrics. Show that the area under the curve of the quantile function from 0 to 1 is . Hint: Use LOTUS and universality of the Uniform.

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Week 3 EDA for 2-Variable Data: - 2-variable data – when you have two measurements for each individual - An association (relationship) exists when values of a certain variable are more likely to occur when you have certain values of another variable - Explanatory variable is the x - Response variable is the y Explanatory Response Variable EDA Variable Categorical Quantitative Display: side-by-side boxplots (MORE DETAILS BELOW) Summary: descriptive statistics Categorical Categorical Display: contingency

###### Chapter 5, Problem 19 is Solved

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Let F be a CDF which is continuous and strictly increasing. Let be the mean of the