The Standards-Based Assessment Exam (SBAE) is an examination given to randomly selected students around the world that aims to identify the quality of education between schools, localities, and countries. Suppose that the results of the SBAE is normally distributed with a mean score of 110 and a standard deviation of 11.2. Approximately what score should a student get if s/he wishes to have a score higher than 90% of all the examinees? 92 96 124 128
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 Standards-Based Assessment Exam (SBAE) is an examination given to randomly selected students around the world that aims to identify the quality of education between schools, localities, and countries. Suppose that the results of the SBAE is
Approximately what score should a student get if s/he wishes to have a score higher than 90% of all the examinees?
92
96
124
128
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