:Suppose X and Y are two independent standard normal random variables, then theoretically, one…
:Suppose X and Y are two independent standard normal random variables, then theoretically, one can prove that x2 + y2 ~ XZ a. Using this rule, generate random samples from two independent standard normal distribution and construct a set of a random sample from the x?
a. distribution. Take an appropriate sample size.
b. Use the Kolmogorov-Smirnov test (KS test) to check if the generated data for x2 + y2 is from the xz distribution.
c. Draw the normal Q-Q plot and discuss the shape of the distribution.
d. Using an R function, directly draw random samples from the x distribution.
e. Using the kernel density estimates and box plots compare your result with the previous method.
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