Flights approaching major airports in the US during peak hours often experience delays in landing due to air traffic congestion. You will often hear announcements from the pilot that sound like this - “… we expect to land at 5:25PM subject to air traffic delays”. Assume that flights flying in to an airport during peak hours are subject to delays that are uniformly distributed between 10 and 45 minutes. [Be sure to show your calculations for parts (b) through (f).] a. Draw the probability distribution of air traffic delay. b. What is the expected value of air traffic delay? c. What is the probability that the flight will be delayed within ± one standard deviation of the mean? d. What is the probability that a flight will be delayed less than 15 minutes or more than 35 minutes?
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.
Flights approaching major airports in the US during peak hours often experience delays in landing due to air traffic congestion. You will often hear announcements from the pilot that sound like this - “… we expect to land at 5:25PM subject to air traffic delays”. Assume that flights flying in to an airport during peak hours are subject to delays that are uniformly distributed between 10 and 45 minutes. [Be sure to show your calculations for parts (b) through (f).]
a. Draw the
b. What is the expected value of air traffic delay?
c. What is the probability that the flight will be delayed within ± one standard deviation of the
d. What is the probability that a flight will be delayed less than 15 minutes or more than 35 minutes?
e. A flight has already been delayed for 25 minutes. What is the probability it will be delayed no more than 5 more minutes?
f. Does the
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