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14 Cards in this Set

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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