Two six-sided dice are rolled and the scores added together. Draw the sample space, the probability density function and the cumulative probability density function by hand.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Two six-sided dice are rolled and the scores added together. Draw the
sample space, the probability density function and the cumulative
probability density function by hand. 
ii. Recent news reports have found that, despite high vaccination rates,
around 40% of new positive COVID tests are found in a particular group
of vaccinated individuals. How might Bayes’ Law and the law of total
probability be useful in thinking about these results? 
iii. Use either the letters in your surname or numbers in your student id
card to explain the difference between “permutations” and
“combinations.” Give a real-world example where the distinction
between permutations and combinations is crucial. 

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