Question: (Lesson 2.6: Simulating Random Variables.) BONUS: Suppose U and V are independent Uniform(0,1) random variables. (You can simulate these using the RAND() function in

(Lesson 2.6: Simulating Random Variables.) BONUS: Suppose U and V are independentUniform(0,1) random variables. (You can simulate these using the RAND() function inExcel, for instance.) Consider the nasty-looking random variable = -2ln(U) cos(2V), where

the cosine calculation is carried out in radians (not degrees). Go aheadand calculate Z... don't be afraid. Now, repeat this task 1000 times(easy to do in Excel) and make a histogram of the 1000

(Lesson 2.6: Simulating Random Variables.) BONUS: Suppose U and V are independent Uniform(0,1) random variables. (You can simulate these using the RAND() function in Excel, for instance.) Consider the nasty-looking random variable = -2ln(U) cos(2V), where the cosine calculation is carried out in radians (not degrees). Go ahead and calculate Z... don't be afraid. Now, repeat this task 1000 times (easy to do in Excel) and make a histogram of the 1000 Z's. What distribution does this look like? a. Normal O b. Unif(0,1) c. Exponential d. Weibull

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