ProbabilityMTP Nov 19Question 3402 of 149
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If a random variable $X$ assumes the values $x_1, x_2, x_3, x_4$ with corresponding probabilities, $P_1, P_2, P_3, P_4$ then the expected value of $X$ is

Options

A$P_1 + P_2 + P_3 + P_4$
B$x_1 P_1 + x_2 P_2 + x_3 P_3 + x_4 P_4$
C$x_1 P_2 + x_2 P_3 + x_3 P_4 + x_4 P_1$
DNone
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Correct Answer

Option b$x_1 P_1 + x_2 P_2 + x_3 P_3 + x_4 P_4$

All Options:

  • A$P_1 + P_2 + P_3 + P_4$
  • B$x_1 P_1 + x_2 P_2 + x_3 P_3 + x_4 P_4$
  • C$x_1 P_2 + x_2 P_3 + x_3 P_4 + x_4 P_1$
  • DNone

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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