Homework Help is Here – Start Your Trial Now!
Math
Statistics
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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

a b and c please thank you so much!

 

Suppose we toss a coin 3 times. We denote head as “H" and tail as "T". We assume the probability of head is Р(H) 3 0.4. Let X be the number of "H"s. a. 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 P(X = k) = 1. k b. Find the cumulative distribution function (cdf) of X. с. Calculate the expectation and the variance of X.
Transcribed Image Text:Suppose we toss a coin 3 times. We denote head as “H" and tail as "T". We assume the probability of head is Р(H) 3 0.4. Let X be the number of "H"s. a. 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 P(X = k) = 1. k b. Find the cumulative distribution function (cdf) of X. с. Calculate the expectation and the variance of X.
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS