Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
14 Cards in this Set
- Front
- Back
|
random variable
|
a variable whose values are determined by chance
|
|
|
discrete variable
|
discrete variables have values that can be counted
|
|
|
continuous variables
|
continuous variables can assume all values in the interval between two given numbers
|
|
|
discrete probability distribution
|
consists of the values a random variable can assume and the corresponding probabilities of the values
|
|
|
requirements of a probability distribution
|
the sum of the probabilities of all values in the sample space must = 1
the probability of each event must be between or equal to 0 and 1 |
|
|
how do you find the mean for a probability distribution?
|
multiply each possible outcome by it's probability and then find the sum of the products
|
|
|
formula for the variance of a probability distribution
|
sum of[X^2*P(X)]-(square of the mean)
|
|
|
how do you obtain the standard deviation?
|
square the variance
|
|
|
can the standard deviation or variance be negative?
|
no
|
|
|
requirements of a binomial experiment
|
1)trials can only have to outcomes or outcomes that can be reduced to two outcomes
2)There must be a fixed number of trials 3) outcomes must be independent 4)the probability of success must remain the same for each trial |
|
|
binomial probability formula
|
[(n!/(n-X)!X!]*("p" to the power of "x")*[q to the power of (n-x)]
p= numerical probability of a success q= numerical probability of failure n= number of trials X= number of successes in trials |
|
|
how do you find the mean of a binomial distribution?
|
n*p
p= numerical probability of a success n= number of trials |
|
|
how do you find the variance of a binomial distribution?
|
n*p*q
p= numerical probability of a success q= numerical probability of failure n= number of trials |
|
|
How do you find the standard deviation of a binomial distribution?
|
take the square root of (n*p*q)
p= numerical probability of a success q= numerical probability of failure n= number of trials |
