(ii) Suppose the maths department plans to offer ten courses next trimester. Some classes cannot run at the same time, as described by the following table: Course Conflicts with: B,D,E А В В,Е, F A C D А, С, I C,I I Nothing E,F,G Nothing H I J For example, the table tells us that course A cannot be taught at the same time as courses B,D or E. It also tells us that course H can be taught at the same time as any other course. What is the least number of time slots required to teach all ten classes, while ensuring there are no conflicts? Justify your answer, specifically explaining how we can use graphs to solve this problem
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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