Probability
What is probability?
Mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
What is conditional probability?
A bell shaped graph that represents the distribution of random variables in a set of data.
In what real world setting can you use Fair Game and Expected Value to make good choices with your money?
Gambling, Los Vegas, Carnivals, Lotteries
The chance of picking a red ball out of 10 blue balls is what type of probability?
Theoretical
A jar contains 4 Doritos, 5 Sunchips, and 1 BBQ chips. Chips are selected randomly one at a time, and are not replaced.
P(Doritos, then Sunchips, then BBQ)
1/36
How much data is in 2 standard deviation away from the mean?
99.7%
Anna works at a restaurant. She believes that 1/4 who inquire about the menu will ask for a reservation. Last month she had 15 calls. What is the probability 10 or fewer of the people who called will ask for a reservation.
.9998846641 probability
What is a "fair" game?
A game is fair if the expected value (after the cost) is 0.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
1/3 probability
The probability that someone likes the color blue is 10%. The probability of being a named Joe is 40%. What is the probability that the a person named Joe is chosen given they liked the color blue?
.25
What two z values both positive and negative so the area in the two tails total 20%?
A. Not given
B. -1.3+1.3
C.-1.28+1.28
D. -0.6 + 0.6
C. -1.28 + 1.28
In Alexandria Virginia 41% of voters are Democrats. What is the probability a sample of 12 Virginia City voters will contain more than 5 Democrats?
.002 probability
What is a game in your favor? Positive or negative?
Positive is in your favor
A set of all possible outcomes is known as -
A sample space
A day in the year is randomly chosen. Given the day is in the month of January, what is the probability the day is the 25th? These events are:
Conditional
The mean temperature in Quebec Canada for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?
-1.43
A very dangerous roller coaster has a 23% chance of someone surviving due to mechanical failure. What is the likelihood of of 3/8 people surviving this ride?
.272 probability
Amy flips a coin if she gets heads she gets $1. If she gets tails she loses $2. What is her expected value of the coin flip?
-$0.5
If 33% of the students at Alexandria City High School play tennis, then what is the probability of students who do not play tennis?
67%
Sarah is is a great runner. The probability that she practices and wins her race is 3/5. If the probability that she practices is 8/9, what is the probability that she passes given that she wins her race?
27/40
The shelf life of lemon raspberry cronuts is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
34%
The probability that a person at a hair salon will request a balayage is 0.32. A random sample of 5 people call to make a hair appointment. What is the probability that exactly 2 will call to request a balayage?
.322 probability
Sam pays $1.00 to roll a fair die with the understanding he will get $3.00 back rolling a 3 or a 5, and nothing otherwise. Is this a fair game?
Yes