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Back to Probability & Statistics
Intermediate 10 Hours Article 26.16, 26.19

Probability Distributions — Continuous

Exponential, Normal distributions, and the Central Limit Theorem

✓ Live group sessions (full course duration) ✓ Dedicated doubt-clearing within the batch

Pricing (per student)

10+ students
₹150 / hr
Total: ₹1,500
15+ students
₹125 / hr
Total: ₹1,250
20+ students
₹100 / hr
Total: ₹1,000

Prerequisites

  • Completion of Probability Distributions — Discrete (or equivalent)
  • Understanding of calculus (integration)

Overview

Covers continuous probability distributions — Exponential and Normal — and introduces the Central Limit Theorem. Students learn to evaluate probabilities using PDF integration and practise engineering applications involving measurement errors and manufacturing tolerances.

Topics

HourTopicDetails
1Continuous Random VariablesDefinition and probability density function (PDF).
2Expected Value & VarianceCalculation and properties for continuous distributions.
3Exponential DistributionDefinition, PDF, mean, variance, and examples.
4Problem-Solving (Exponential)Solving problems (Article 26.16).
5Normal DistributionDefinition, PDF, mean, variance, and standard normal.
6Problem-Solving (Normal)Solving problems (Article 26.19).
7Central Limit TheoremConcept, significance, and worked examples.
8Engineering ApplicationsMeasurement errors and manufacturing tolerances.
9Additional Problem-SolvingMixed practice from both distributions.
10Recap & Doubt ClearingRevision and timed Q&A session.

Expected Outcomes

  • Understand continuous random variables and their distributions.
  • Solve Exponential and Normal distribution problems confidently.
  • Apply the Central Limit Theorem in practical scenarios.