Probability Function of Discrete Random Variables | Solving for Constant 'a' and Finding CDF

In this tutorial, we solve a comprehensive probability distribution problem involving a discrete random variable X. This video is specifically designed for first-year B.Tech and B.E. students to help master Engineering Mathematics concepts. Key Topics Covered in this Video: Determining the unknown constant 'a' using the total probability rule (Sum of P(x) = 1). Solving quadratic equations involving a and a-squared to find valid probability values. Calculating cumulative probabilities: P(X less than 4) and P(X greater than or equal to 4). Finding the least value of k such that the cumulative probability exceeds 0.5. Constructing the Cumulative Distribution Function (c.d.f) step-by-step. Problem Statement: A random variable X has values from 0 to 7 with the following probabilities: 0, a, 2a, 2a, 3a, a-squared, 2(a-squared), and 7(a-squared) + a. Target Audience: B.Tech / B.E. Students (Engineering Mathematics) B.Sc / M.Sc Mathematics Students Competitive exam aspirants (GATE, TRB, etc.) If this video helped you understand probability distributions better, please: Like the video to support the channel. Comment below with any questions or specific topics you want me to cover next! #EngineeringMathematics #ProbabilityTheory #BTechMaths #DiscreteRandomVariable #Statistics #MathTutorials #UniversityExams #CDF