BBinaryIIndependentNfixed NumberSSame pBINS.A binomial setting requires:

a fixed number of independent trials with the same probability of success

trials continuing until the first success

a changing probability of success

AP Statistics Binomial and Geometric Distributions Quiz: 10 Questions with Explanations

AP Statistics math quiz: Binomial and Geometric Distributions – Maths PDF

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This binomial geometric quiz for AP Statistics covers binomial and geometric distributions (Common Core AP STAT 4.10, AP STAT 4.11, AP STAT 4.12, HSS-MD.A.3, HSS-CP.B.9), with a free PDF to print.

Ten multiple-choice questions test the BINS conditions, binomial probabilities, and geometric probabilities. Read each explanation, especially for at-least problems and the geometric mean.

AP Statistics · Common Core State Standards: AP STAT 4.10, AP STAT 4.11, AP STAT 4.12, HSS-MD.A.3, HSS-CP.B.9

Binomial geometric quiz: 10 questions

Question 1

Binomial with n = 5.

What is the shape of this distribution?

Question 2

Geometric.

Which describes this distribution?

Question 3

BINS.

A binomial setting requires:

Question 4

X is binomial with n = 100 and p = 0.3. The mean of X is:

Question 5

X is binomial with n = 100 and p = 0.3. The standard deviation is about:

Question 6

To find P(X >= 5) for binomial n = 12, use:

Question 7

A geometric distribution has p = 0.25. The mean number of trials to the first success is:

Question 8

For a geometric distribution with p = 0.5, P(X = 3) =

Question 9

Which of these is binomial?

Question 10

Rolling a die until a 6 appears has a probability of needing more than 3 rolls equal to:

Remember

Binomial conditions: Binary, Independent, fixed Number, Same probability.
Binomial: mean = np, standard deviation = sqrt(np(1-p)); use binompdf and binomcdf.
At least k successes: 1 – binomcdf(n, p, k – 1).
Geometric: trials until the first success; P(X = n) = (1-p)^(n-1) p; mean 1/p.
Without replacement, treat trials as independent only if n is at most 10% of the population.

How to use this binomial geometric quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

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