Problem 3. While experimenting with the simulation described in Problem 2, John tries taking 0 ~ Uniform(0, 2π) as before but instead drawing the squared distance term D² from an exponential distribution, i.e. D²2 Exponential(X) (or we could also write Z~ Exponential(A) and D = √Z). After plotting the resulting points (X, Y), the variables X and Y appear to have independent normal distributions. Use the Ja- cobain method to show that this hypothesis is correct.
Problem 3. While experimenting with the simulation described in Problem 2, John tries taking 0 ~ Uniform(0, 2π) as before but instead drawing the squared distance term D² from an exponential distribution, i.e. D²2 Exponential(X) (or we could also write Z~ Exponential(A) and D = √Z). After plotting the resulting points (X, Y), the variables X and Y appear to have independent normal distributions. Use the Ja- cobain method to show that this hypothesis is correct.
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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