Homework Help is Here – Start Your Trial Now!
Math
Statistics
i) Draw a tree diagram and the probabilities for each event involved in the above scenario. ii) Find the probability that Ellisa will win the tennis match. iii) Are the events independent? Proof it numerically.

i) Draw a tree diagram and the probabilities for each event involved in the above scenario. ii) Find the probability that Ellisa will win the tennis match. iii) Are the events independent? Proof it numerically.

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) Ellisa is going to play one badminton match and one tennis match. The badminton match has been scheduled one week earlier than the tennis match. Based on the prediction by her coach, the chance that she will win the badminton match is 0.9. Other than that, the coach believed that if Ellisa wins the badminton match, the chance that she will win the tennis match is 0.65. But if she loses the badminton match, she has a 0.7 chance of losing the tennis match too. i) Draw a tree diagram and the probabilities for each event involved in the above scenario. ii) Find the probability that Ellisa will win the tennis match. iii) Are the events independent? Proof it numerically. b) According to a survey conducted by Tourism Malaysia, 70% of Malaysian companies give employees 25 to 30 days of annual leave. Find the probability that among 6 companies surveyed at random, more than half of the companies give employees 25 to 30 days of annual leave. c) The time taken for servicing a car has an average time of 17 minutes and a standard deviation of 2.2 minutes. If the service times are approximately normally distributed, i. Find the probability that the time taken for servicing Ali's car is between 15 to 20 minutes. ii. What is the maximin service time for 90% of the cars?
Transcribed Image Text:a) Ellisa is going to play one badminton match and one tennis match. The badminton match has been scheduled one week earlier than the tennis match. Based on the prediction by her coach, the chance that she will win the badminton match is 0.9. Other than that, the coach believed that if Ellisa wins the badminton match, the chance that she will win the tennis match is 0.65. But if she loses the badminton match, she has a 0.7 chance of losing the tennis match too. i) Draw a tree diagram and the probabilities for each event involved in the above scenario. ii) Find the probability that Ellisa will win the tennis match. iii) Are the events independent? Proof it numerically. b) According to a survey conducted by Tourism Malaysia, 70% of Malaysian companies give employees 25 to 30 days of annual leave. Find the probability that among 6 companies surveyed at random, more than half of the companies give employees 25 to 30 days of annual leave. c) The time taken for servicing a car has an average time of 17 minutes and a standard deviation of 2.2 minutes. If the service times are approximately normally distributed, i. Find the probability that the time taken for servicing Ali's car is between 15 to 20 minutes. ii. What is the maximin service time for 90% of the cars?
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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