what is a discrete probability distribution?
a discrete probability distribution lists each possible value a random variable can assume, together with it's probability
a discrete probability distribution must satisfy what conditions
1. the probability of each value of the discrete random variable is between 0 and 1, inclusive.
2. the sum of all the probabilities is 1 .
the mean of a random variable represents
what you would expect to happen for thousands of trials. it is also called the expected value.
discrete random variables represnet
counted data
continuous random variables represent
measured data
volume, age, height and weight are usually
measured data, so they are continuous random variables
in a binomial experiment, what does it mean to say that each trial is independent of the other trials?
if the outcome of one trial does not affect the outcome of the other trials
what happens as the value of n increases and the probability of success remains the same on a histagram
as n increases, the distribution becomes more symmetric
frinding the mean of a binomial distribution
mean = n x p
the variance of the binomial distribution
variation = n x p x q
standard deviatgion of a binomial distribution
standard deviation = square root of npq
q
the probability of failure in a single trial q = 1-p