Suppose a bag contains many marbles, 50% of which are white. You draw 9 marbles from the bag with replacement. (a) Find the probability that you draw exactly 4 white marbles. 0.13 0.246 0.538 0.719 (b) Find the expected value of the number of white marbles. 2.04 4.5 6.62 7.09

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
Suppose a bag contains many marbles, 50% of which are white. You draw 9 marbles from the bag with replacement.
(a) Find the probability that you draw exactly 4 white marbles.
0.13
0.246
0.538
0.719
(b) Find the expected value of the number of white marbles.
2.04
4.5
6.62
7.09
Transcribed Image Text:Suppose a bag contains many marbles, 50% of which are white. You draw 9 marbles from the bag with replacement. (a) Find the probability that you draw exactly 4 white marbles. 0.13 0.246 0.538 0.719 (b) Find the expected value of the number of white marbles. 2.04 4.5 6.62 7.09
Expert Solution
Step 1: Given

Proportion of white marbles =50% (P=0.5)

n=9

The marbles are drawn with replacement which means probability of getting white will remain same in every draw,

therefore we can use binomial distribution. 

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar 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