Statistics · Unit 4 · Paper 1

Probability & Random Variables unit test

A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.

Paper 1 Paper 2 Paper 3

Each paper is built from this unit’s 20 terms and is the same for everyone, so a teacher can assign “Unit 4, Paper 1” and every student sits the identical test. Multiple choice is marked objectively; the written sections you mark yourself against the model answer and rubric.

Suggested time 32 min 29 points0/17 attempted

Binomial mean and standard deviation

Expected value

Variance of a random variable

Law of large numbers

"At least one" problems

Conditional probability

10% condition

Complement rule

Binomial vs geometric on the exam

Geometric setting

Linear transformation of a random variable

Simulation design

Short answer 1. Define or explain: Two-way table probabilities

3 pts

Short answer 2. Define or explain: Binomial setting

3 pts

Short answer 3. Define or explain: Mutually exclusive vs independent

3 pts

Short answer 4. Define or explain: Tree diagrams

3 pts

Free response

5 pts

This course has no free-response prompt tagged to this unit, so one from elsewhere in the course is used. It is still worth writing — the skill transfers.

Eight students' study hours (x) and exam scores (y) give ŷ = 52 + 6.5x, with r = 0.87 and s = 4.2.

Interpret the slope in context.

Interpret r² in context.

A student who studied 5 hours scored 88 — find and interpret the residual.

Explain what s = 4.2 measures.