LEARN · EXPLAIN · REVISE

Give the distribution of Y=2X+1.

Read the idea, work independently, then explain what changed.

TOPIC 01

Random variables and distributions: mixed review

A mixed assessment: identify the method, justify it and revise your reasoning.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Standard#Your turn

X=0,26;\quad P=1/3,2/3

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

List the possible values and probabilities before computing moments.

Hint 2

Map each support value through Y=2X+1.

Worked solution

List the possible values and probabilities before computing moments.
Apply the stated relation and retain its conditions.
$0\mapsto1,\quad 26\mapsto53$
An injective value transformation keeps the corresponding probabilities.

The requested relation or conclusion is shown below.

Y=1,53;\quad P=1/3,2/3

Checks and common pitfalls: An injective value transformation keeps the corresponding probabilities.

Reasoning checklist · self / teacher assessment

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment