Stats - Probability
What two forms do you give answers to probability questions?
- Decimals
- Fractions
What does $P(\text{experiment})$ mean?
The probability of experiment.
In terms of probability, what is an experiment?
A repeatable process that gives rise to a number of outcomes.
In terms of probability, what is an event?
A set of one or more outcomes.
What is sample space?
The set of all possible outcomes.
2021-01-21
What does it mean for two events to be mutually exclusive?
The two events can’t happen at the same time.
If $A$ and $B$ are mutually exclusive, what is $P(A \text{and} B)$?
If $A$ and $B$ are mutually exclusive, what is $P(A \text{or} B)$?
What would the Venn diagram look like for two mutually exclusive events, $A$ and $B$?
What does it mean if two events are independent?
One event happening does not affect the probability of the other happening.
If $A$ and $B$ are independent, what is the probability of $P(A\text{and}B)$?
Do mutually exclusive events overlap on a Venn diagram?
No.
Do independent events overlap on a Venn diagram?
Yes.
How could you prove mathematically that two events $A$ and $B$ aren’t independent?
Show
\[P(A \text{and} B) \neq P(A)\times P(B)\]2021-02-04
In an experiment calculating the percentage of left-handed people, what would you say instead of right-handed?
Not left handed.