Probability and complex function: Unit I: Probability and random variables

Exercise 1.9 (Geometric Distribution)

Problems with Answer | Random variables

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Probability and complex function: Unit I: Probability and random variables : Exercise 1.9

EXERCISE 1.9

1. If X and Y are 2 independent random variables each representing the number of failures preceeding the first success in a sequence of Bernoulli's trials with p as the probability of success in a single trial, show that P[X = Y] = p/1 + q where p + q=1

2. Let one copy of a magazine out of 10 copies bears a special prize following geometric random distribution. Determine its mean and variance.


Probability and complex function: Unit I: Probability and random variables : Tag: : Problems with Answer | Random variables - Exercise 1.9 (Geometric Distribution)

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Probability and complex function: Unit I: Probability and random variables


Probability and random variables - Introduction

Some important terms of probability

Axioms of probability - Theorem, Proof, Solved Example Problems

Exercises 1.1 (Axioms of probability) - Problems with Answer

Conditional Probability - Theorem, Proof, Solved Example Problems

Baye's Theorem - Solved Example Problems | Probability

Exercise 1.2 and Exercise 1.3 (Conditional Probability, Baye's Theorem) - Problems with Answer

Random Variable - Types

(i) Discrete random variable

Discrete random variable: Formula, Solved Example Problems

(ii) Continuous random variables - Formula, Solved Example Problems

Exercises 1.4 and 1.5 (Discrete and Continuous random variable) - Problems with Answer

Moments - moment generating functions and their properties - Formula, Solved Example Problems | Random variables

Exercises 1.6 (Moments - moment generating functions) - Problems with Answer | Random variables

Binomial distribution - Random variables

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