FE Other Disciplines Practice Question Solution included after investigation
CASE E-096 Β· FE

The Risky Project Worth $52,000, Not $35,000

The outcomes were not equally likely. Probability-weighting gives an expected value of $52,000, not the simple average of $35,000.

β–Ά INTERACTIVE CASE FILE β€’ 5–10 MIN β€’ CLICK TO INVESTIGATE

Inspect, commit, prove, fix, and sign off.

Case E-096 engineering failure visual
HOW THIS WORKS

Think like
a real engineer.

Follow the investigation process used in the field β€” in five guided steps.

1

Inspect

Review the problem, diagram, and evidence.

2

Commit

Choose your hypothesis.

3

Prove

Run calculations and test your idea.

4

Fix

Select and validate a safe correction.

5

Sign Off

See the full debrief and key takeaways.

Case Brief

SAME PRINCIPLES. HIGHER STANDARDS.
PROBLEM STATEMENT

Project R has a 60% probability of +$120,000 and a 40% probability of -$50,000. A guaranteed alternative returns +$45,000. Determine Project R's EMV and the preferred alternative under an expected-value criterion.

Engineering Economics Other Disciplines Design Verification Root Cause Analysis Safe Correction
E-096
INVESTIGATION WORKSPACE WORK THROUGH THE CASE β€” YOUR CHOICES MATTER.
πŸ”’
DEBRIEF (LOCKED)

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Find the root cause, confirm the fix, and see how this connects to the exam.

πŸ”’Root causeComplete the case
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πŸ”’Exam takeawayComplete the case
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CASE CLOSED Β· ENGINEERING VERDICT

What actually failed β€” and what should change.

What failed

Unequal-probability outcomes were averaged equally.

What was missed

The favorable and loss states have different probabilities.

Corrected model

Use EMV=Ξ£p_iΓ—payoff_i.

QUICK ANSWER

EMV=0.60($120,000)+0.40(-$50,000)=$52,000. Under the stated expected-value criterion, this exceeds the guaranteed $45,000 alternative by $7,000.

ENGINEERING TAKEAWAY

Expected monetary value is the probability-weighted sum of mutually exclusive outcomes.

CASE QUESTIONS

Questions this case should settle.

What is expected monetary value?

The probability-weighted sum of all possible monetary outcomes.

Can risk preference produce a different choice?

Yes. This case uses expected value as the stated criterion.

NEXT FE PRACTICE QUESTION

The Process Choice That Broke Even at 10,000 Units, Not 5,000

Engineering Economics Β· 5–10 min

Continue Practice β†’
WHAT YOU’LL LEARN

Real failures. Lasting skills.

Each case is designed to build the judgment, analysis, and confidence you need for engineering exams β€” and beyond.

  • Apply core engineering concepts to real-world problems
  • Practice structured troubleshooting and analysis
  • Strengthen exam-ready thinking through realistic scenarios
COMMON QUESTIONS
Do I need prior knowledge to use these cases?

Basic subject familiarity helps, but every case is designed to teach through the investigation itself.

How long does a case take?

Most cases are designed for a focused 5–10 minute investigation.

Are the cases aligned with engineering exams?

Each case is mapped to a verified exam, subject, topic, and misconception before publication.

What happens after I complete a case?

The sealed debrief unlocks with the root cause, corrected reasoning, fix, and takeaway.