4. Estimate the probability distribution for rolling three 6-sided dice and taking their sum y = x₁ + x₂ + x3 where ;~ Randi (1, 6), i.e., Pa, (k) = 1/6 for k = 1, 2, 3, 4, 5, 6. The probability mass function (pmf) for y has a range from 3 to 18. Use Monte Carlo Simulation to estimate py (k)=? for k= 3, 4, ..., 17, 18 Draw/plot the pmf py(k) vs. k.

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A: As per bartleby guidelines we can solve only first question and rest can be reposted

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