Answer the following questions using binomial probability formula and INTERPRET (please) your answers.   When Stephen plays chess against his favorite computer program, he wins with probability 0.60, loses with probability 0.10, and 30% of the games result is a draw.

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

Answer the following questions using binomial probability formula and INTERPRET (please) your
answers.

 

When Stephen plays chess against his favorite computer program, he wins with
probability 0.60, loses with probability 0.10, and 30% of the games result is a draw.
 

Stephen plays 12 games. Assume independence.
 

a. Find the probability that he wins 5 games, loses 3 games, and draws 4 games.
b. Find the probability that he wins 7 games and draws 5 games.
c. Find the probability that Stéphane wins at least 8 games.


6. A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn
randomly without replacement. What is the probability that exactly 4 red cards are
drawn? 

Binomial formula
Notation
Formula
n = number of trials
*x= number of successes
* P = probability of success
P(X = x) =
n!
x!(n-x)!
·* p** (1-P)n-x
Transcribed Image Text:Binomial formula Notation Formula n = number of trials *x= number of successes * P = probability of success P(X = x) = n! x!(n-x)! ·* p** (1-P)n-x
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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