Topic module

Risk, Statistics and Short-term Decisions

Probability, expected value, dispersion, normal distribution, break-even, make-or-buy and limiting factors.

Long-form learning
Concept to Risk to Memory to Check-up

How to study the CIMA Certificate

Secure each subject's concepts and calculations before using short business scenarios for application. Static study assets do not reproduce every computer-marked interaction or combine the four subjects into one official examination.

Core concepts

Concept 1

Calculate and interpret risk measures.

Exam cue: Check probabilities sum to one.

Concept 2

Apply cost-volume-profit analysis.

Exam cue: Use contribution, not revenue, for scarce resources.

Concept 3

Optimise short-term choices under constraints.

Exam cue: Include opportunity cost where capacity is constrained.

Risk pitfalls and guardrails

Treating expected value as a guaranteed outcome.

Guardrail: Do not combine subjects, treat the 0-150 scale as a percentage, or rely on a remembered label without checking timing, units, assumptions and facts.

Using fixed cost in a make-or-buy decision when unavoidable.

Guardrail: Do not combine subjects, treat the 0-150 scale as a percentage, or rely on a remembered label without checking timing, units, assumptions and facts.

Ranking products by contribution per unit instead of per limiting factor.

Guardrail: Do not combine subjects, treat the 0-150 scale as a percentage, or rely on a remembered label without checking timing, units, assumptions and facts.

Memory anchors

Expected value

Expected value is the probability-weighted average outcome.

Margin of safety

Margin of safety is expected or actual sales above break-even sales.

Limiting factor

A limiting factor constrains activity and should be allocated by contribution per scarce unit.

Checkpoint rule

Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.

Knowledge Check (after reading)

Short check-up to confirm understanding of this module.

Check-up Questions

1-2 question checkpoint

A project has a 0.3 probability of earning £80,000 and a 0.7 probability of earning £20,000. What is expected profit?

What is the main limitation of using expected value for a one-off decision?

Answer all questions to submit.

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