Question

In: Statistics and Probability

1. Georgia has 15 apps on her phone. Of these apps, 10 are connected to social...

1. Georgia has 15 apps on her phone. Of these apps, 10 are connected to social media, 7 are games, and 5 are games that are connected to social media.

a. Are the apps connected to social media and the apps that are games mutually exclusive or non-mutually exclusive? Explain.

b. Find the probability that a random app on Georgia’s phone is not connected to social media and is not a game.

c. Draw a Venn diagram of all of the above apps.

Solutions

Expert Solution

Given:

Georgia has 15 apps on her phone. Of these apps, 10 are connected to social media, 7 are games, and 5 are games that are connected to social media.

Let S be the event that represent the social media.

and G be event that represent the game .

A Venn diagram of all of the apps :

a) The apps connected to social media and the apps that are games are not mutually exclusive.

b) The probability that a random app on Georgia’s phone is not connected to social media and is not a game is 0.20 = 1/5

c) A Venn diagram of all of the above apps is given above.


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