A. The probability that a student leaves home at exactly the time set is 0.7, while the probability that the specific student gets to school on time is 0.54. Moreover, the probability that the student leaves the house at the set time and that they arrive on time in the school is 0.65. Find the probability that the student left home at the time set given that the student arrived on time.
A. The probability that a student leaves home at exactly the time set is 0.7, while the probability that the specific student gets to school on time is 0.54. Moreover, the probability that the student leaves the house at the set time and that they arrive on time in the school is 0.65. Find the probability that the student left home at the time set given that the student arrived on time.
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
Transcribed Image Text:Answer and explain the steps in solving the following problems.
A. The probability that a student leaves home at exactly the time set is 0.7, while the
probability that the specific student gets to school on time is 0.54. Moreover, the
probability that the student leaves the house at the set time and that they arrive on time
in the school is 0.65. Find the probability that the student left home at the time set given
that the student arrived on time.
B. The probability that it will rain on a randomly selected day in April is 0.38, the probability
of a windy day is 0.43, and the probability of snow is 0.34. It is also a known fact that the
probability of rain given a windy day is 0.22, and the probability of snow given a windy
day is 0.16.
a. What is the probability that a rainy and windy day will happen?
b. Are three weathers (rainy, windy, or snowy) mutually exclusive?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman