2. (a) In a series of independent tosses of a coin, with probability p of the coin landing 'heads', and probability 1-p of it landing 'tails', obtain an expression for Pr(X = x), 1,2, 3, ..., where X is a random variable denoting the number of tosses until the first head appears. %3D (b) If m is a positive integer, obtain an expression for Pr(Y = y), y = m,m +1, m +2, ..., where Y is a random variable denoting the number of tosses until the m th head appears.
2. (a) In a series of independent tosses of a coin, with probability p of the coin landing 'heads', and probability 1-p of it landing 'tails', obtain an expression for Pr(X = x), 1,2, 3, ..., where X is a random variable denoting the number of tosses until the first head appears. %3D (b) If m is a positive integer, obtain an expression for Pr(Y = y), y = m,m +1, m +2, ..., where Y is a random variable denoting the number of tosses until the m th head appears.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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