What is the percentile for Colorado, where 10.1% of the residents are aged 65 and olde
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!
![Given is a stemplot of the percents of residents aged 65 and older in the 50 states:
7 0
Key: 152 means 15.2% of
What is the percentile for Colorado, where 10.1% of the
8
8
this state's residents are 65
8
or older.
residents are aged 65 and older?
10
019
O 10th percentile
16777
01122456778999
13
11
12
O 4th percentile
0001223344455689
023568
14
O 8th percentile
15
24
16
O 90th percentile
O 92nd percentile
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