What is a a random variable?
a variable whose values are determined by chance
What is a discrete probability distribution?
A distribution that consists of the values a random variable can assume and the corresponding probabilities of the values. The probabilities are determined
theoretically or by observation
What is a probability distribution?
A table or an equation that links each outcome of a statistical experiment with its probability of occurrence.
What are the two requirements for a probability distribution?
1. The sum of the probabilities of all the events in the sample space must equal 1
2. The probability of each event in the sample space must be between or equal to 0 and 1,
How do you graph a Probability Distribution?
The X axis is the event and the Y axis is the probability
In a probability distribution what is P(X)?
P(X) represents the probability of X.
What is the formula for the Mean of a Probability Distribution?
It is the Sum of all of (the number of events(x) times the probability of that event)
-Sum of X *P(X)
What is the mean of a probability distribution?
The mean of a probability distribution is the number obtained by multiplying all the possible values of the variables by the respective probabilities and adding these products together. It indicates the expected value the corresponding variable would take
How do you find the mean of a probability distribution?
What is the variance of a probability distribution?
The number obtained by multiplying each of the squared deviations from the mean by its respective probability and adding these products
What is the formula for the variance of a probability distribution?
What is the expected value of a discrete random variable of a probability distribution?
the theoretical average of the variable
What is a sample space?
The set of all possible outcomes of a probability experiment
What is a sample space?
The set of all possible outcomes of a probability experiment
What is the formula for the expected value of a discrete random variable?
5.3 What is a binomial experiment?
A probability experiment that has the following conditions:
1. Each trial can have only two outcomes or outcomes that can be reduced to two
outcomes. These outcomes can be considered as either success or failure.
2. There must be a fixed number of trials.
5.3 What is P(S)
The symbol for the probability of success
5.3 What is the symbol for the probability of success?
P(S)
5.3 What is P(F)?
The symbol for the probability of failure
5.3 What is the symbol for the probability of failure?
P(F)
5.3 What is the symbol for the numerical probability of success
p
5.3 What is the symbol for the numerical probability of failure?
q
5.3 What is the Formula for the Binomial Probability Distribution?
What is the formula for the Mean of the Binomial Distribution?
u=n*p
What is the formula for the variance of a binomial distribution?
What is the formula for the standard deviation of the binomial distribution?