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Thefollowingtablegivestheexpectedvalueoffollow.distribution∣P(X)∣−20∣−10∣30∣75∣80∣∣−−−∣−−−∣−−−∣−−−∣−−−∣−−−∣∣P(X)∣320∣15∣12∣110∣120∣FindtheExpectedvalueoffollow.distribution\displaystyle The following table gives the expected value of follow. distribution | P(X) | -20 | -10 | 30 | 75 | 80 ||---|---|---|---|---|---|| P(X) | \frac{3}{20} | \frac{1}{5} | \frac{1}{2} | \frac{1}{10} | \frac{1}{20} | Find the Expected value of follow. distribution

Options

A20.5\displaystyle 20.5
B21.5\displaystyle 21.5
C22.8\displaystyle 22.8
D24.5\displaystyle 24.5
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Correct Answer

✅ Option d — 24.5\displaystyle 24.5

All Options:

  • A20.5\displaystyle 20.5
  • B21.5\displaystyle 21.5
  • C22.8\displaystyle 22.8
  • D24.5\displaystyle 24.5

About This Chapter: Probability

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Probability Operations, Expected Value

A logic-heavy chapter dealing with random experiments, events (mutually exclusive, exhaustive), set theory probability, conditional probability, and Bayes' Theorem. It forms the basis for Theoretical Distributions.

View Official ICAI Syllabus

Exam Strategy Tip

Always draw a quick Venn Diagram or tree when faced with 'At least one' or 'Only A but not B' wording. It saves you from double-counting.

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