In: Statistics and Probability
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.
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.