Suppose we toss a coin 3 times. We denote head as "H" and tail as “T". We assume the probability of head is P(H) = 0.4. Let X be the number of "H"s. What are the possible values of X? Find the probability function (pf) of X, which is defined by a. P(X = k) for every possible value k. Check that EP(X = k) = 1. b. Find the cumulative distribution function (cdf) of X. Calculate the expectation and the variance of X. C.

Suppose we toss a coin 3 times. We denote head as "H" and tail as “T". We assume the probability of head is P(H) = 0.4. Let X be the number of "H"s. What are the possible values of X? Find the probability function (pf) of X, which is defined by a. P(X = k) for every possible value k. Check that EP(X = k) = 1. b. Find the cumulative distribution function (cdf) of X. Calculate the expectation and the variance of X. C.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 3E: The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the...

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