Binomial: n trials with s successes and f failures

Possion: Number of events that are to occur in a period of time

Hypergeometric: population contains M successes and M-N failures probability of exactly k successes in a random sample n.

Continuous probability distributions are: Measured under a curve, and probabilities of a specific point are 0

Normal Distribution to Standard Distribution: z= x-u/ standard deviation

z<a: Value in table

a<z: Complement of value in table

c<z<d: Difference of the two values.

Cr: no order

Pr: Order matters

When creating a sample distribution: 1. find how many combinations, then take all their sum/mean/ect. and then the probability.

Benefits of the central limit theorem: 1. More accurate and Reliable, 2. Inferences can be made about populations based on just samples.

To get a wider confidence interval: Increase the confidence coefficient, increase the standard deviation, and decrease the sample size.

Population: u mean, o Standard deviation, p proportion

Sample: -x mean, s standard deviation, ^P proportion

a/alpha: when you reject the null hypothesis when you shouldn’t have

B/beta: when you fail to reject the null hypothesis when you should have.

If the p-value is less than a then you: reject the null hypothesis

Hypothesis testing steps:

1. find hull and alternative hypothesis

2. Find rejection region

3. Find test statistic

4. find p -value

5. Get results

6. Find margin of error and point estimates

7. Find confidence interval