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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa04b853f-49c7-4a77-a07b-823c09c8c388%2Fdc637b65-bc90-41fe-8247-98b6a71c79c4%2F46jkfel_processed.png&w=3840&q=75)
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?
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