Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Consider the probability model defined by the cumulative distribution function given below.     0   x < 3 F(x) = (x-3)/1.18   3 < x < 4.18     1   x > 4.18 a) What is E(x)? Give answer to three decimal places. b) What is the value c such that P(X <= c) = 0.28? Give your answer to four decimal places. c) What is the probability that X falls within 0.31 minutes of its mean? Give your answer to four decimal places.

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Q: Find P(X ≤ µ) where µ = E(X) is the average number of visits.

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.