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AlekseyPX
3 years ago
10

For the month of March in a certain​ city, 57​% of the days are cloudy. Also in the month of March in the same​ city, 55​% of th

e days are cloudy and foggy. What is the probability that a randomly selected day in March will be foggy if it is cloudy​?
Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

P(F | C) = 0.96

Step-by-step explanation:

Hi!

This is a problem on conditional probability. Lets call:

C = { cloudy day }

F = { foggy day }

Then F ∩ C = { cloudy and foggy day }

You are asked for P(F | C), the probability of a day being foggy given it is cloudy. By definition:

P(F|C)=\frac{P(F\bigcap C)}{P(C)}

And the data you have is:

P(C) = 0.57\\P(F \bigcap C) =0.55

Then: P(F | C) = 0.96

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Answer:

Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}

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2 years ago
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