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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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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)
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