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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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4. Estimate the probability distribution for rolling three 6-sided dice and taking their sum
y = x1 + x2 + x3
where r; - Randi(1, 6), i.e., Pr, (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 p, (k) vs. k.
Transcribed Image Text:4. Estimate the probability distribution for rolling three 6-sided dice and taking their sum y = x1 + x2 + x3 where r; - Randi(1, 6), i.e., Pr, (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 p, (k) vs. k.
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