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STA 3111 Fall 2017- Prof Florence George Quiz: Quiz 2 Chapters 3 Time Remaining:

ID: 3305936 • Letter: S

Question

STA 3111 Fall 2017- Prof Florence George Quiz: Quiz 2 Chapters 3 Time Remaining: 00:08:02 Submit Quiz his Question: 2 pts 7 of 9 (8 complete) This Quiz: 20 pts possi For the month of August in a certain city, the probability that the weather on a given day is cloudy is 0.39. Also in the month of August in the same city, the probability that the weather on a given day is cloudy and foggy is 0 14. What is the probability that a randomly selected day in August will be foggy if it is cloudy? The probability is approximately (Round to three decimal places as needed ) Enter your answer in the answer box.

Explanation / Answer

P( Cloudy) = 0.39

P( Cloudy AND Foggy) = 0.14

P ( Foggy | Cloudy) = ?

P ( Foggy | Cloudy) = P( Cloudy AND Foggy) / P( Cloudy)

= 0.14 / 0.39

= 0.359 ( rounding to three decimal places)

Probability that randomly selected day in August will be Foggy if it is cloudy is 0.359.