The hypothetical probabilities of types of weather in two neighborhoods in San F

Question

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:

Compute the following probabilities:

A. P (fog in the Sunset and sunshine in the Mission)

B. P (sunny in the Sunset for three consecutive days)

C. P (fog in the Sunset or fog in the Mission)

D. P (rain in the Mission given that it is not sunny in the Mission)

Sunset neighborhood 35% chance of sunshine 50% chance of fog cover 15% chance of rain Mission Neighborhood 70% chance of sunshine 10% chance of fog cover 20% chance of rain

Explanation / Answer

a)

Probbility = 0.70*0.35 = 0.245

b)

Probability = 0.35*0.35*0.35= 0.042875

c)

Probability = 0.50*0.10 = 0.05

d)

Probability = 0.20 / 1-0.70 = 0.67

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