Probability
Inference
Formulas
Desmos
Miscellaneous
100

What is the probability of not flipping heads twice in a row?

.25

100

What test is used in a probability test with one variable

One-Sample Z test

100

What is the formula to find degrees of freedom in a one sample t test

df= n-1

100

how to create a table in desmos

type table

or click plus then table

200

What is the probability of rolling 6 twice in a row on a 6 sided dice

1/36

200

Used in a hypothesis test to evaluate means when the population standard deviation is unknown, this test statistic relies on degrees of freedom

t-value


200

What is the formula for the z-score in a one sample z test

actual - expected

-------------------                                                            SD

200

How do you get a 5 number summary

type stats(

200
What makes a data point a outlier?
  • Low outlier: < Q1 - 1.5 x IQR
  • High outlier: > Q3 + 1.5 x IQR
300

The Probability of getting numbers 1-5 on a spinner is different, with the probabilities of 3 and 5 being the same. What is the probability of spinning a 3 given:

P(1)=.34    P(3)=x   

P(2)=.28    P(4)=.18   P(5)=x

.10


300

A test is ran with an alpha=.05. What conclusion can be made with a p-value of .05

Reject Null Hypothesis

300

What is the formula for degrees of freedom in a Linear Regression t-interval for β

df= n-2

300

How to create an approximate normal distribution 

type normaldist(

or

Click plus, then inference, then Probability distribution

300

Whats the Law of Large Numbers

As a sample size grows, its mean will get closer and closer to the average of the whole population

400

The probability of winning a prize is .1, what is the probability of winning on your 8th try

.478

400

what conditions do you need in a chi squared goodness of fit test

Random

10% condition

Large Counts np>5

400

What is the formula to find the t-value in a One-sample t-test for μ Or Matched pairs t-interval for μd

t = x̅− μ / (s√n)

400

When creating a hypothesis test what do the tails of the distribution automatically set to? Left? Both? Right?

Both

400

Probability of rolling a 7 on a 36 sided die given you rolled an even number the turn before

1/36

500

A factory uses 3 machines to make batteries. Machine A makes 50% of the batteries, Machine B makes 30% and Machine C makes 20%. Machine A has a 2% defect rate, B has a 3% defect rate, and C has a 5% defect rate. If a randomly selected battery is defective, this is the probability it was made by Machine C.

.3846

500
What are the degrees of freedom in a two sample t-test with two groups of 32.

62

500

What is the formula to find the interval for a one sample z-test for proportions

p̂± z∗√p̂(1 − p̂)/n

500
What two Chi Squared tests share the same procedure in desmos

Homogeneity and Independence

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