Ch 6 Flashcards
Random Variable
Var whose value is unknown
Example: assigning a value to an expected outcome
Discrete
Finite amnt of values
- shoe size
- number of apples
- rating
Continuous
infinite values, usually within a range
- measurements (height, volume, etc)
- decimals?? In general???? Given the context obvi lol
Show that probability distribution is legit
- 0 <= P(x) <= 1
- Sum of P(x) = 1
Describing Histograms
(think ch1.. or 2.. whichever one had describing in general)
SOCS
Shape, Outlier, Center, Spread
Normal probability
P (wtv equation with x)
Probability – Mean, E(x) Formula
Sum of [ x • P(x) ]
Interpret SD
Sum of (probability(x - mean))^2
If you randomly [do smth] many many times, the [unit] will typically vary by [SD] on average from the mean of [mean]
Interpret Mean
Sum of (probability × value)
If you randomly [do smth] many many times, the expected [amnt or wtv] would be [mean] on average.
How to add mean
Just add them idk
How to add SD’s
- Get variance of each (square SD)
- Add those together
- Sqrt root of the sum = final answer
What does +/- affect
Mean (centers)
What does ×/÷ affect
Mean and SD (centers, spread)
Probability Dist
Make a table with x (value) and y (probability). Label accordingly
Probability – SD Formula
P × ( x - mean )^2