Using the Empirical Rule, complete the following: The weights of healthy kittens is normally distributed with a mean of 24.5 and a standard deviation of 2.5. 1. Find percentage of kittens with weights between 22 and 27. 2. Find percentage of kittens with weights greater than 27. 3. Find the kitten weight corresponding to 50th percentile. 4. Find the kitten weight corresponding to the 16th percentile. 5. Find the kitten weight corresponding to the 84th percentile.
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!
Using the
The weights of healthy kittens is
1. Find percentage of kittens with weights between 22 and 27.
2. Find percentage of kittens with weights greater than 27.
3. Find the kitten weight corresponding to 50th percentile.
4. Find the kitten weight corresponding to the 16th percentile.
5. Find the kitten weight corresponding to the 84th percentile.
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