LEARN · EXPLAIN · REVISE

X~N(t,4). Find P(X=t).

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 / Transfer#Your turn

t=34

σ>0; probability table values are supplied in each task. A continuous variable has zero probability at a single point.

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Express the event with a conditional probability or a disjoint partition.

Hint 2

A continuous distribution assigns zero mass to a point.

Worked solution

The requested value is 0.

Checks and common pitfalls: The density is largest at the mean, but point probability is still zero.

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

Teacher preparation and assessment