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Random variable
Takes numerical values that describe the outcomes of some chance process.
Dividing and multiplying a random variable by a constant changes the shape of the distribution.
False. It does not.
Adding or subtracting a constant from a variable…
Adds to measures of center and location. Does not change measures of spread or shape of distribution
Probability distribution of Y has same shape as probability distribution of X.
True
Mean of Sum of Random Variables
Variance of Sum of Random Variables
Mean of difference of variables is their difference BUT…
order of subtraction is important
binomial
“success” or “failure” in fixed number of trials
binomial settings conditions
Binary, Independent, Number, Success
p in binomial distribution
probability of success in any one trial
binomial probability formula
binompdf
use with specific number
binomcdf
find number greater or less than in a trial
mean of binomial random variable
standard deviation of binomial random variable
geometric setting
when we perform independent trials of the same chance process and record the number of trials it takes to get one success.
Probability of success in each geometric trial must be the same
True
geometric random variable
Y = number of trials needed to get first success
geometric distribution
probability distribution of geometric random variable
Formula of geometric probability
Formula for variance of geometric probability
Formula for mean of geometric probability