biostats lab probability distribution Flashcards
A function whose values are_____
determined by the elements of the _____
random variable; real numbers; sample space
any variable (or a data
point) with a random value that is predetermined
by the _____
random variable; outcome of the experiment
difference between continuous and discrete
continuous= fraction, decimal
discrete= integer, whole number
applies the theory of probability to describe the behavior of random variables
probability distribution
what is a discrete probability distribution
applies the theory of probability to describe the behavior of random variables wherein it specifies all possible outcomes and the probability that each will occur
aids in the determination of the average of a set of data by knowing the distinct values that occur and their relative frequencies, without _____
mathematical expectation; without knowledge of the total number of observations in our set of data.
other terms for mathematical expectation
expected value/ mean of the probability distribution
what is the mathematical expectation equation
mean= summationn of x= Summation of x f of x
is a ____ probability distribution that maps the behavior of a binomial random variable.
binomial probability distribution; discrete
what do u call the equation of binomial, why?
probability density function, we try to know the density of the curve
The most important and common continuous probability distribution is the normal distribution or the Gaussian distribution. Its probability density function is given as follows:
Normal distribution
The properties of the Normal Distribution is as follows:
Bell-shaped distribution, symmetrical about the mean.
2. Mean = Median = Mode.
3. Total area under the curve is one.
4. Has long tapering tails which extend indefinitely in either
direction corresponding to an infinite range of x values in the distribution.
what determines the shape of the curve
standard deviation
what determines the location of the curve
mean
positive skewness means
skew to the right
mean> median> mode