The average number of red blood cells per cubic mm in humans is about 5 million. We'll let μ = 5,000,000, and σ = 500,000. Give the values for the number of red blood cells for the middle 80% of people. Give the values for the number of red blood cells for the middle 60% of people. Give the 80th 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!
The average number of red blood cells per cubic mm in humans is about 5 million. We'll let μ = 5,000,000, and σ = 500,000.
Give the values for the number of red blood cells for the middle 80% of people.
Give the values for the number of red blood cells for the middle 60% of people.
Give the 80th percentile.
Given: = 5000000
=500000
we need to find i) the values for the middle 80% people i.e 10th and the 90th percentile.
ii) the value of the middle 60% people i.e 20th and 80th percentile
iii) 80th percentile
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