Of the students who took the statistical visa exam, 0.88413 scores below 74 points, 0.0062 scores above 87.5 points, and others score between 74 and 87.5 points. Since it is known that the exam grades fit the normal distribution, find the coefficient of variation of the distribution of the grades.
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!
Of the students who took the statistical visa exam, 0.88413 scores below 74 points, 0.0062 scores above 87.5 points, and others score between 74 and 87.5 points. Since it is known that the exam grades fit the
It is given that 0.88413 scored below 74 points and 0.0062 scored above 87.5 points. That is,
Also,
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