3 Discrete Probability Distribution Flashcards
Discrete Random Variable
Discrete Probability Distribution Ex1
Discrete Probability Distribution Ex2
Discrete Probability Distribution Ex3
Cumulative Distribution Function
Cumulative Discrete Distribution Function ex1
How to find the mean and variance for a discrete random variable
Finding mean and variance of a discrete random variable ex1
Finding mean and variance of a discrete random variable ex2
What happens when you add/subtract a constant vs multiply/divide to a random variable?
Transformation of random variable ex1
What will happen if you add X + Y if both are random variables?
Transformation of random variable ex2
What is a discrete uniform distribution
Is the simplest of all probability distributions and is where the random variable assumes each of its values with equal probability. A random variable X has a discrete uniform distribution if each of the n values in its range has equal probability
How do you find the mean and variance of a discrete uniform distribution?
E(x) = (b+a)/2
Variance = ( (b-a+1)^2 - 1 )/ 12
Where b= max and a = min
Discrete Uniform Distribution Example
What is a Bernoulli Random Variable?
Give the following:
1.) probability mass function notation
2.) mean
3.) variance
Bernoulli Random Variable ex1:
1.)Give me the probability mass function
2.) expected value
3.)variance
What is the Binomial Random Variable?
Find the following:
1.) Assumptions
2.) Probability Mass Function
3.) Expected Value
4.) Variance
Binomial Random Variable ex1
Binomial Random Variable ex2
What is a Geometric Random Variable?
Give me the following:
1.) Assumptions
2.) Expected Value
3.) Variance
4.) probability density function
5.) cumulative density function
Geometric Random Variable ex1
Geometric Random Variable ex2
What is a Negative Binomial Distribution?
1.) assumptions
2.) examples of when to use it
3.) expected value
4.) variance
5.) Probability density function
It is the probability of the math success happens on the xth trial.
Assumptions:
1.) Binary(success or failure)
2.) Independent( one trial does not effect another)
3.) Number of trials until k success occur( desired # successes determined in advance)
4.) Probability of success is the same for each trial
Negative Binomial Distribution ex1
Negative Binomial Distribution ex2
Negative Binomial Distribution ex3
What is the Hypergeometric Distribution?
1.) assumptions
2.) expected value
3.) variance
4.) probability density function
5.) example when to use it.
Hypergeometric Distribution ex1
Hypergeometric Distribution ex2
Hypergeometric Distribution ex3
What is the Poisson Distribution?
1.) assumptions
2.) expected value
3.) variance
4.) probability density function
Poisson Distribution ex1
Poisson Distribution ex2
Poisson Distribution ex3
