Math Final Exam

Binomial

n trials with s successes and f failures

Poisson

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

Measured under a curve, and probabilities of a specific point are 0

Normal Distribution to Standard Distribution

z= x-u/ standard deviation

Cr

No order

Pr

Order matters

Sample distribution creation steps

Find combinations, calculate sum/mean, determine probability

Central Limit Theorem benefits

More accurate and reliable, Inferences about populations based on samples

Wider confidence interval

Increase confidence coefficient, increase standard deviation, decrease sample size

Population parameters

u mean, o standard deviation, p proportion

Sample parameters

-x mean, s standard deviation, ^P proportion

P-value comparison

If p-value < a, reject null hypothesis

Hypothesis testing steps

Formulate null and alternative hypotheses, Determine rejection region, Calculate test statistic, Find p-value, Interpret results, Calculate margin of error and point estimates, Establish confidence interval

a/ Alpha

When you reject the null hypothesis when you shouldnt have

B/ beta

When you fail to reject the null hypothesis when you should have

z<a

Value in table

a<z

Complement of value in table

c<z<a

Difference of the two probalities