Gravetter/Wallnau/Forzano, Essentials - Chapter 6 - End-of-chapter question 18 The distribution of SAT scores is approximately normal with μ = 500 and σ = 100. Using the Distributions tool, answer the questions that follow for the population of students who have taken the SAT. (Note: Round the p values on the tool to two decimal places where needed.) What is the minimum SAT score needed to be in the highest 20% of the population? (Answer as a whole number.) X = If the state college only accepts students from the top 40% of the SAT distribution, what is the minimum SAT score needed to be accepted? (Answer as a whole number.) X =
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!
Gravetter/Wallnau/Forzano, Essentials - Chapter 6 - End-of-chapter question 18
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