Suppose we toss a coin 3 times. We denote head as "H" and tail as "T". We assume the probability of tail is P(T) = 0.7. Let X be the number of "H"s. 1. What are the possible values of X? Find the probability function(pf) of X, which is defined by P(X = k) for every possible value k. Check that k P(X= k) = 1. 2. Find the cumulative distribution function (cdf) of X. 3. Calculate the expectation and the variance of X.
Suppose we toss a coin 3 times. We denote head as "H" and tail as "T". We assume the probability of tail is P(T) = 0.7. Let X be the number of "H"s. 1. What are the possible values of X? Find the probability function(pf) of X, which is defined by P(X = k) for every possible value k. Check that k P(X= k) = 1. 2. Find the cumulative distribution function (cdf) of X. 3. Calculate the expectation and the variance of X.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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