The College Boards, which are administered each year to many thousands ofhigh school students, are scored so as to yield a mean of 500 and a standarddeviation of 100. These scores are close to being normally distributed. Whatpercentage of the scores can be expected to satisfy each condition?a. Greater than 650b. Greater than 750c. Less than 450d. Between 450 and 600e. What is the 90th percentile?
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!
The College Boards, which are administered each year to many thousands of
high school students, are scored so as to yield a mean of 500 and a standard
deviation of 100. These scores are close to being
percentage of the scores can be expected to satisfy each condition?
a. Greater than 650
b. Greater than 750
c. Less than 450
d. Between 450 and 600
e. What is the 90th percentile?
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