The mean for the entire population of depressed people is 33.13 with a standard deviation of 5. If you assume that the distribution of all depressed people is normal, answer the following questions. What percent of depressed people have a depression score below 37? What percent of depressed people have a depression score below 29? What percent of depressed people have a depression score that falls between 30 and 40? What percent of depressed people have a depression score that falls between 25 and 32?
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 mean for the entire population of depressed people is 33.13 with a standard deviation of 5. If you assume that the distribution of all depressed people is normal, answer the following questions.
What percent of depressed people have a depression score below 37?
What percent of depressed people have a depression score below 29?
What percent of depressed people have a depression score that falls between 30 and 40?
What percent of depressed people have a depression score that falls between 25 and 32?
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