Homework Help is Here – Start Your Trial Now!
Math
Statistics
12. Ali practices piano each month. She does not practice no more than five times in a month. She practices exactly five times 37% of the time, four practices 23% of the time, three practices 17% of the times, two practices 12% of the time, one practice 6% of the time and not practice 5% of the time. a) Construct a Probability Distribution for the given data. b) Find the expected value of the number of practices Ali does in a month.

12. Ali practices piano each month. She does not practice no more than five times in a month. She practices exactly five times 37% of the time, four practices 23% of the time, three practices 17% of the times, two practices 12% of the time, one practice 6% of the time and not practice 5% of the time. a) Construct a Probability Distribution for the given data. b) Find the expected value of the number of practices Ali does in a month.

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
12. Ali practices piano each month. She does not practice no more than five times in a month. She practices exactly five times 37% of the time, four practices 23% of the time, three practices 17% of the times, two practices 12% of the time, one practice 6% of the time and not practice 5% of the time. a) Construct a Probability Distribution for the given data. b) Find the expected value of the number of practices Ali does in a month.
Transcribed Image Text:12. Ali practices piano each month. She does not practice no more than five times in a month. She practices exactly five times 37% of the time, four practices 23% of the time, three practices 17% of the times, two practices 12% of the time, one practice 6% of the time and not practice 5% of the time. a) Construct a Probability Distribution for the given data. b) Find the expected value of the number of practices Ali does in a month.
Expert Solution
Step 1

Solution:  

Ali does not practice more than 5 times in a month. 

She practices exactly 5 times practices  37% of the time. 

She practices exactly 4 times practices  23% of the time. 

She practices exactly 3 times practices  17% of the time. 

She practices exactly 2 times practices  12% of the time. 

She practices 1-time  6% of the time. 

She practices 0-time  5% of the time. 

Let X denotes the number of times she practices the piano in a month. 

P(X) denotes the probability that she practices X number of times piano in a month. 

 

The Probability Distribution is given by:

X 0 1 2 3 4 5

greater than 5
P(X=x)  0.05 0.06 0.12 0.17 0.23 0.37 0

 

 

 

 

steps

Step by step

Solved in 2 steps with 1 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
SEE MORE TEXTBOOKS