Question: Q5. Let X and Y represent two standard normal random variables. Let R represent a third random variable which is formed from X and Y

 Q5. Let X and Y represent two standard normal random variables.

Q5. Let X and Y represent two standard normal random variables. Let R represent a third random variable which is formed from X and Y as follows: R = JXZ + Y2 |n MATLAB, generate 10,000 realisations (i.e. random values) of R. Following from this, plot the empirical CDF of the generated data. A parsimonious model (not covered in class) is a model that achieves a desired level of explanation using as few parameters as possible. Find the simplest probability distribution that models the distribution of R. Plot the theoretical CDF of your chosen model on the same plot as the empirical CDF and comment on the t and choice for the model

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