Tyler J 6.3 AP Statistics

Binomial Setting

100

This is the acronym to remember conditions for a binomial setting.

What is BINS?

200

This is what the B stands for in BINS.

What is Binary?

300

This is what the I stands for in BINS.

What is Independent?

400

This is what the N stands for in BINS.

What is Number?

500

This is what the S stands for in BINS.

What is Success/Same Probability?

Calculator Formulas

100

This is the formula for calculating binomial probabilities: nCk p^k (x - p)^n-k

This is the value that should be in place of x.

What is 1?

200

This is the formula for calculating mean of a binomial distribution.

What is np?

300

This is the formula to calculate the sum of probability left of k (in a binomial setting).

What is binomcdf?

400

This is the formula to calculate the probability at ONE exact k (in a binomial setting).

What is binompdf? 

500

This is the formula to calculate the number of "combinations" or the number of ways of getting r objects from n.

What is nCr?

Binomial, Geometric, or neither

100

Roll a fair die 5 times and let X = the number of fours

What is Binomial?

200

Shoot a basketball 15 times from the three-point arc. Let Y = number of shots made.

What is Binomial?

300

Suppose we roll a single die until we get a 1.

What is geometric?

400

Observe the next 20 vehicles that go by and let C = color.

What is neither?

500

Deal 20 cards from a shuffled deck and count the number X of face cards.

What is neither?

Miscellaneous problems

100

This is the shape of a geometric distribution.

What is right skewed?

200

Custom agents claim that a light has probability 0.50 of showing red on any push of the button. Assume this claim is true. Suppose we watch 20 passengers press the button. Let R = the number who get a red light. This is the mean of R.

What is 10?

300

Stephen Curry gets fouled when attempting a layup. His free throw percentage is 90%. This is the probability of him making both free throws.

What is 81%?

400

A total of 12% of students at Roswell High School are left-handed. Mrs. McIlroy selects a random sample of 100 students and records L = the number of left-handed students in the sample. Can L be modeled by a binomial distribution even though the sample was selected without replacement? You don't have to start your answer with a question word but explain your answer.

Yes, because n = 100 is less than 10% of the size of the population.

500

These are the equations that must be true to use a normal distribution to approximate binomial probability 

What are np >/= 10 and n(1-p) >/= 10?