The average bmi (body mass index) of 500 college students is normally distributed with a mean of 25, with a standard deviation of 5. (A) How many students have a bmi between 22 and 29? 257 (B) How many students have a bmi of more than 29? 106 C) How many students have a bmi of less than 22? 137 (D) What level of bmi would put you in the bottom 10% of the weight distribution? Top 10%?
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!
**Need help with D only**
The average bmi (body mass index) of 500 college students is
(A) How many students have a bmi between 22 and 29? 257
(B) How many students have a bmi of more than 29? 106
C) How many students have a bmi of less than 22? 137
(D) What level of bmi would put you in the bottom 10% of the weight distribution? Top 10%?
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