Probability Rules
What makes events A and B independent?
P(A and B)=P(A)P(B)
When are you allowed to multiply probabilities?
When events are independent.
What is the expected value of the variable?
P(1)=0.2, P(2)=0.3, P(3)=0.5
2.3
If you are dealt two cards, what is the probability of getting a pair?
3/51
What high school did TV go to?
Kennebunk
What is the equation for the probability of a union of events?
P(A or B)=P(A)+P(B)-P(A and B)
Mutually exclusive
If ten coins are flipped, what is the expected number of heads?
5
If 20% of people have blonde hair, what is the probability that a random sample of 10 people has 2 blondes?
0.302
What is the best college in the world?
UMAINE
What is the equation for conditional probability?
P(A|B)=P(A and B)/P(B)
The mean of a random variable
Expected value
You have a huge bag of candies, of which 20% are red, and you pick out candies one at a time. What is the expected number of picks to get a red?
5
If Ben makes 60% of his free throws, what is the probability the first free throw he makes is on the third shot?
0.096
What is the capital of Nepal?
Kathmandu
If P(A or B)=P(A)+P(B), what can you say about events A and B?
They are mutually exclusive
Discrete RV
If X: the number of heads out of ten coin flips, what is the standard deviation of X?
~1.58
If 40% of Mainers voted for Trump, what is the probability that a random sample of 10 Mainers has a majority of Trump voters?
0.166
What was TV's major and minor in college?
Math and Music
Events A and B are independent. If P(B)=0.6, P(A|B)=0.2, and P(A|not B)=0.3, what is P(A)?
0.24
A number that characterizes a random variable
Parameter
A candy company has 20% of its candies being red. Sayla keeps picking candies and writing down how many picks it takes to get a red. What will the standard deviation of her trials end up approaching?
~4.47
If X~N(10,3) and Y~N(25,2), what is P(X+X>Y)?
0.143
What is TV's favorite jazzer?
Any of Stan Getz, Bela Fleck, Thelonious Monk, Bill Evans, or Sonny Rollins