Exam grades: Scores on a stats final in a large class were normally distributed with a mean of 75 and a standard deviation of 8. A) What proportion of the scores were above 90? B) What porportion of the scores were below 65? C) What is the probability that a randomly chosen score is between 70 and 80? *show by Tables and Technology
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!
Exam grades: Scores on a stats final in a large class were
A) What proportion of the scores were above 90?
B) What porportion of the scores were below 65?
C) What is the
*show by Tables and Technology
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