depth of the snow in my yard is normally distributed, with a mean of 2.5 in and a SD of 0.25in. a) What is one SD below the mean? b) What is one SD above the mean? c) What is the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 in? (Give the answer as a percent) 5. SAT scores are distributed with a mean of 1500 and SD of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your confidence interval to 25 points, how many students should you sample? (Give the answer as a whole number) 6. If n= 18, X (X bar) = 45, and s = 7, find the margin of error at a 99% confidence level. (Give the answer to two decimal pl
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!
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