heights
59 61 62 63 64 65 66 67 68 69 70 71
1 4 3 4 6 2 2 3 2 4 2 1
A continuous random variable can take any numeric value.
(Discrete can only take integers.)
X- Face value of a die
Y- Sum of two die.
X and Y are discrete r.v. because their outcomes are whole numbers.
X- height (inches)
X is a continuous random variable.
(people usually report is as a discrete RV.)
Who is 65 inches tall?
None of us really know how tall we are exactly.
Last semester my in person class told me how tall they are. I made a histogram of their heights.
There are 34 students in my sample (n = 34).
Treat the data as discrete.
Estimate the following probabilities.
heights
59 61 62 63 64 65 66 67 68 69 70 71
1 4 3 4 6 2 2 3 2 4 2 1
We get slightly different answers if we think about the data as continuous.
Let X - A Student’s Height
Let’s pretend our sample is representative of all students
Cannot be equal to exactly 1 number with continuous distributions. There is an \(\infty\) number of values.