Help on 5, need an explanation . C Secure https://drive.google.com/file/dOB3KIAP

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Help on 5, need an explanation

. C Secure https://drive.google.com/file/dOB3KIAPYPrsKzctiqQmFmX2IOSIA view ::: Apps a Amazon.com: Onlinr Online Alar mCinck y Twittrr % honeYouTube % Canas Citation Marhinr:M MYahn Fin nce Rus this FargnSign On 10 rdrohe Fscnt Other tookmanks 5.) Let's say that the probability that a randomly selected firm exports part of its products knowing that it is a relatively large firm is equal to 60%. Also, let us assume that the simple probability that a randomly selected firm exports part of its products in equal to 20%, and that the simple probability that a randomly selected firm is fairly large is 15%. Compute the probability that a randomly selected firm is fairly large knowing that it exports part of its products a) 45% b) 35% c) 25% d) 15% e) We are going to need more information to compute this probability 6.) A group of students are asked to examine the performance of a local soccer team. For this purpose, they first gather some data over a year. Looking at their data, they realize that the probability that this local soccer team wins a game and that the game day is rainy is equal to 20% Also, the local weather data indicates that the probability that a game day is rainy is equal to 40% Compute the probability that this local soccer team wins a game knowing that the game day is 8:36 PM Type here to search 11/5/2017

Explanation / Answer

answer (a)45%

P(Exports | large )=0.6 , P(Exports)=0.2, P(large )=0.15

we want P(large|exports)=?

P(Exports | large )=P(Exports and large )/P(large)

or, P(Exports and large )=P(Exports | large )*P(large)=0.6*0.15=0.09

now, P(large|exports)=P(large and exports)/P(export)=0.09/0.2=0.45=45%

anwer is 45%

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