Scores on the verbal Graduate Record Exam (GRE) are normally distributed with a mean of 600 and a standard deviation of 120. b. Practice using the 68-95-99.7 Rule by completing the normal distribution below with horizontal scale and percentages in each interval. [Use the graph in (c) and (d).] c. Using your graph in part (b), what percentage of students is expected to score between 480 and 840? Answer: _______________ % d. In a sample of 1500 students, how many are expected to score less than or equal to 360? Use your graph in part (b).
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!
Scores on the verbal Graduate Record Exam (GRE) are
b. Practice using the
c. Using your graph in part (b), what percentage of students is expected to score
between 480 and 840?
Answer: _______________ %
d. In a sample of 1500 students, how many are expected to score less than or equal to 360? Use your graph in part (b).
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