Use either R or Excel for the following. Provide the formulas or code that you are using. Let x1 be a random variable that is N(100, 225). Let x2 be a random variable that is U(50,150) and let x3 be a random variable that is U(500,1500). Set Y = (X1)(X2)/ (X3) a) Use R to create 500 random numbers of each type (X1, X2, X3 and Y).
b) Estimate P(0.1 < Y < 0.25)
c) Estimate E(Y) and the Standard deviation of Y based on the random numbers.
d) Based on the simulation, what is the maximum value of Y
e) Create a histogram for Y.
Here is the R code:
Histogram of Y:
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