Probability
A probability statement looks like
P()
!- It's not an exclamation mark it is a
and its purpose is
What is a factorial
What is to make it easier to see you have to count down from the number that is connected to it
The collection of all possible values and the corresponding probabilities that they occur is called the
What is the probability model
The formula for the fancy u in Excel
What is fancy u= =SUMPRODUCT( LetterNumber:LetterNumber-X, LetterNumber:LetterNumber-P(X))
The four requirements of a Binomial Distribution are
What is Fixed number of trials, two outcomes, trials are independent, and probabilities are constant
When a probability statement says "or" I have to
What is add the two probabilities
A formula for permutation and combination in Excel is
What is Permutation =PERMUT(n,r)
Combination =COMBIN(n,r)
Requirements for a probability distribution
What is - The sum of all the probability events equals one
- All the probabilities are between zero and one
The mean of the probability distribution on the board
What is fancy u= 3.28
Selecting 50 university students and recording their class rank is
What is not a binomial Distribution
The three basic interpretations of probability
What is classical, empirical, and subjective
A manager wants to observe 4 of his employees in a certain order. The problem is he has 10 employees. How many ways can the employees be chosen
10P4 = 5,040
Three steps for creating a probability distribution
What is 1. Make a frequency distribution for the outcomes of the variables Step 2: Find the probability for each outcome Step 3: Graph if needed. Place outcomes on the x-axis and probabilities on the y-axis
The formula for a variance in Excel
What is sigma square= =SUMPRODUCT( LetterNumber:LetterNumber-X^2, LetterNumber:LetterNumber-P(X))- mean^2
There are 50 dancers at a dance studio. 70% of the dancers have danced their whole lives. The mean and standard deviation are
A jar contains 15 marbles. 5 Purple, 3 Green, and 7 Red. What's the probability of pulling a purple and a green and a red? No replacement
What is P( Purple and Green and Red) = 0.0385
A security system requires a 4-digit code, where:
The first digit must be nonzero (1–9),
The second and third digits can be any digit 0–9,
The fourth digit must be even (0, 2, 4, 6, 8).
How many different codes are possible?
What is 4500
Look at board- Is this a probability distribution
What is No
The formal for standard deviation in Excel
What is sigma= =SQRT(LetterNumber- Variance)
The formula for a Binomial Probability that is cumulative in Excel
What is =BINOM.DIST(x,n,p,True)
Look at the board- The probability of a person liking a duck given they don't like chickens
What is P( A person liking a duck | They don't like chickens) = 0.4530
A person has 9 cows and 9 horses. The probability of choosing 4 cows and 3 horses
P( choosing 4 cows and 3 horses) = (9C4*9C3)/18C7)-0.3326
A probability distribution of the values on the board looks like
What is on your piece of paper
Box containing 5 balls. Two are numbered 3, one is numbered 4, and two are numbered 5. Find the mean, variance, and standard deviation.
What is- Fancy u = 4, sigma square = 0.8, sigma = 0.8944
40% of prison inmates were unemployed when they entered prison. If 5 inmates are randomly selected. The probability of 3 being unemployed is
What is 0.2304