he average number of Hate Crimes in the United States per year (1991 to 2018) is approximately 7900 per year with a standard deviation of approximately 1200 hate crimes per year. In what range would you expect to find the middle 95% of hate crimes per year? Between and . If you were to draw a sample of 10 years worth of hate crimes, in what range would you expect to find the middle 95% of average number of Hate Crimes per year in this sample? Between and . Your answers should be accurate to at least 2 decimal places.
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 average number of Hate Crimes in the United States per year (1991 to 2018) is approximately 7900 per year with a standard deviation of approximately 1200 hate crimes per year.
In what range would you expect to find the middle 95% of hate crimes per year?
Between and .
If you were to draw a sample of 10 years worth of hate crimes, in what range would you expect to find the middle 95% of average number of Hate Crimes per year in this sample?
Between and .
Your answers should be accurate to at least 2 decimal places.
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