stats Flashcards
is the set of possible outcomes in a random experiment
sample space
subset of outcomes in a sample space
Event
is the likelihood that a certain event will happen
Probability
is a result of numerous experiments
Empirical probability
is an educated guess
Classical probability
are characteristics or measurements that take on values as determined by probability
random variables
may be replicated but the results cannot be determined with certainty
random experiments
assume infinite number of values
continuous random variables
illustrates the random variables and the probabilities assigned to them
probability distribution
representing the probability distribution using vertical bars
histogram
provides a graphical representation of statistical values that are needed in describing the populations as well as in making decisions.
Normal Probability Distribution
Normal Probability Distribution curve (also known as _______________________)
Gaussian distribution
is the measure of the data from the mean.
standard deviation
is the square of the standard deviation.
variance
The tails of the curve are _________ to the horizontal axis
asymptotic
The mean, median, and mode coincide at the _______.
center
The width of the curve is determined by the ________ ________.
standard deviation
is a normal distribution with a mean (𝝁) of 0 and standard deviation (𝞼) of 1.
standard normal distribution
z =
z-score
X =
value of the random variable
𝛔 =
population standard deviation
𝛍 =
population mean
A standard normal distribution is a normal curve with a mean equal to __
0
A normal distribution is symmetric at the _______
mean
what is the area from -3 to 3
99.7%
what is the area from -2 to 2
95%
what is the area from -1 to 1
68%