Like this study set? Create a free account to save it.

Sign up for an account

Already have a Quizlet account? .

Create an account

poisson pmf

center of gravity

to change any normal distribution to standard normal distribution

subtract m and divide by s

if you change m

it just moves the curve; z doesn't change

if you change s

it just scales the curve; z doesn't change

within one s of m

68.27% 34.135%

within two s of m

95.45% 47.725 %

within three s of m

99.73% 49.865%

Poisson expected value E(X)

Poisson variance Var(X)


≈ 2.71828

conditional distribution

the distribution of one variable given the other

marginal distribution

distribution of one variable regardless of the value of the other

multiplication rule

probability of A and B = probability of A times probability of B given A (or vice versa)

addition rule

probability of A or B = probability of A + probability of B - probability of A and B

uniform distribution expected value E(X)

pdf yielding normal distribution

pdf yielding standard normal distribution



F(z) - F(-z)

2 F(z) - 1

z for 99%


z for 95%


z for 90%


z for 80%


z for 75%


z for 70%


z for 60%


z for 50%


z for 40%


z for 30%


z for 25%


z for 20%


z for 10%


z for 5%


z for 1%


Theorem 3.6.1 p 220

If you add two independent random variables, the sum is a random variable distributed as the sum of the means, the sum of the standard deviations

Chi-square distribution

assumes non-negative values only

t distribution

William Goset; student's t

F distribution

Fisher distribution; Ronald Fisher; for two independent random variables each with Chi-square distribution p225

exponential distribution density function

exponential distribution function

gamma distribution density function

gamma function

beta distribution pdf

beta distribution a=b=1

The uniform distribution is a special case of the beta distribution where a=b=1.

beta distribution

non-parametric or distribution-free inference statistical inference where results obtained are general and are applicable to any arbitrary distribution; e.g. % of defective units in a manufacturing process, % of errors made in data entry, and % of fans satisfied with the performance of the team they support

beta variance

Chi-square distribution is a special case of the

Gamma distribution where a= n/2 and l=1/2; n is number of degrees of freedom.


p 234


p 236




p 241


p 241


p 242

Please allow access to your computer’s microphone to use Voice Recording.

Having trouble? Click here for help.

We can’t access your microphone!

Click the icon above to update your browser permissions and try again


Reload the page to try again!


Press Cmd-0 to reset your zoom

Press Ctrl-0 to reset your zoom

It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

Please upgrade Flash or install Chrome
to use Voice Recording.

For more help, see our troubleshooting page.

Your microphone is muted

For help fixing this issue, see this FAQ.

Star this term

You can study starred terms together

Voice Recording