3. The hypothetical probabilities of types of weather in two neighborhoods in San Francisco on an average day in the month of August are shown below: Sunset neighborhood 40% chance of sunshine 40% chance of fog cover 20% chance of rain Mission Neighborhood 60% chance of sunshine 15% chance of fog cover 25% chance of rain Compute the following probabilities (show work): Assume the Weather in the Two Neighborhoods are Independent A. P (fog in the Sunset and sunshine in the Mission) B. P (Rain in the Sunset for three consecutive days) *assume independence C. P (fog in the Sunset or fog in the Mission) D. P (Fog in the Mission given that it is not Raining in the Mission)

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

I need help with this problem. Its using the rules of probability. I have finished A,B and C. I just need D

3. The hypothetical probabilities of types of weather in two neighborhoods in San
Francisco on an average day in the month of August are shown below:
Sunset neighborhood
40% chance of sunshine
40% chance of fog cover
20% chance of rain
Mission Neighborhood
60% chance of sunshine
15% chance of fog cover
25% chance of rain
Compute the following probabilities (show work):
Assume the Weather in the Two Neighborhoods are Independent
A. P (fog in the Sunset and sunshine in the Mission)
B. P (Rain in the Sunset for three consecutive days) *assume independence
C. P (fog in the Sunset or fog in the Mission)
D. P (Fog in the Mission given that it is not Raining in the Mission)
Transcribed Image Text:3. The hypothetical probabilities of types of weather in two neighborhoods in San Francisco on an average day in the month of August are shown below: Sunset neighborhood 40% chance of sunshine 40% chance of fog cover 20% chance of rain Mission Neighborhood 60% chance of sunshine 15% chance of fog cover 25% chance of rain Compute the following probabilities (show work): Assume the Weather in the Two Neighborhoods are Independent A. P (fog in the Sunset and sunshine in the Mission) B. P (Rain in the Sunset for three consecutive days) *assume independence C. P (fog in the Sunset or fog in the Mission) D. P (Fog in the Mission given that it is not Raining in the Mission)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 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