1) Generate a probability histogram of the number of rolls required of two dice before a sum of "7" appears (graphical answer followed by Matlab code). Note: Don't plot experiment that took more than 60 rolls. 2) Generate an unfair six-sided die. The die has sixe sides [1, 2, 3, 4, 5, 6] with probabilities: [p1, P2, P3, P4, P5, P6] = [0.1, 0.15. 0.3, 0.25, 0.05, 0.15]. Simulating the roll of the die for N = 10,000 times, and plot the PMF of your unfair die as stem plot. The stem plot should verify that the six sides of your unfair die follow the required probabilities. 3) When 100 coins are tossed find the probability that exactly 35 will be heads (numerical answer followed by Matlab code), assuming the number of experiments is 100000.

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Chapter1: Combinatorial Analysis
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1) Generate a probability histogram of the number of rolls required of two dice
before a sum of "7" appears (graphical answer followed by Matlab code). Note:
Don't plot experiment that took more than 60 rolls.
2) Generate an unfair six-sided die. The die has sixe sides [1, 2, 3, 4, 5, 6] with
probabilities: [p1, P2, P3, P4, P5, P6] = [0.1, 0.15.0.3, 0.25, 0.05, 0.15]. Simulating
the roll of the die for N = 10,000 times, and plot the PMF of your unfair die as
stem plot.
The stem plot should verify that the six sides of your unfair die follow the
required probabilities.
3) When 100 coins are tossed find the probability that exactly 35 will be heads
(numerical answer followed by Matlab code), assuming the number of
experiments is 100000.
Transcribed Image Text:1) Generate a probability histogram of the number of rolls required of two dice before a sum of "7" appears (graphical answer followed by Matlab code). Note: Don't plot experiment that took more than 60 rolls. 2) Generate an unfair six-sided die. The die has sixe sides [1, 2, 3, 4, 5, 6] with probabilities: [p1, P2, P3, P4, P5, P6] = [0.1, 0.15.0.3, 0.25, 0.05, 0.15]. Simulating the roll of the die for N = 10,000 times, and plot the PMF of your unfair die as stem plot. The stem plot should verify that the six sides of your unfair die follow the required probabilities. 3) When 100 coins are tossed find the probability that exactly 35 will be heads (numerical answer followed by Matlab code), assuming the number of experiments is 100000.
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