13. SAT Writing Scores U = 488 O= 114 200
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!
Out of 250 randomly selected us men in the 35-44 age group, about how many would you expect to have a total cholesterol level greater than 260 milligrams per deciliter of blood?
![13.
SAT Writing Scores
U = 488
O= 114
200 <x < 450
200
450
800
Score
(Source: The College Board)
15.
U.S. Men Ages 35–44:
Total Cholesterol
220 < x< 255
µ = 205
O= 37.8
75
220 255
300
Total cholesterol level (in mg/dL)
(Adapted from National Center
for Health Statistics)
Using Normal Distributions In Ex
the specified normal distribution.
17. SAT Writing Scores Use the norm
(a) What percent of the SAT writin
(b) Out of 1000 randomly selecte
would you expect to be greater
18. SAT Math Scores Use the norma
(a) What percent of the SAT math
(b) Out of 1500 randomly select](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F486282da-3963-4c87-bba9-080fd3c51987%2F3000cfc5-9890-438f-acc6-45eadeb5fbdd%2F4jivfa.jpeg&w=3840&q=75)
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