Question

Challenge A survey asked 200 people for their favorite genre ofbook The table shows the data. How many people surveyedresponded with a genre other than one of those listed? Find theprobabil des for a complete probability model for the responsesGenreAdventureComedyMysteryRomanceNumber ofPeople38288822of the people surveyed. responded with a genre other than one of those listed.

Answer 1

Find the total amount of people that responded with a genre from those listed by adding all the numbers in the table:

`38+28+88+22=176`

A total of 200 people were surveyed. Then, substract 176 from 200 to find the amount of people that responded with a genre other than those listed:

`200-176=24`

Then, of the people surveyed, 24 responded with a genre other than one of those listed.

Divide the number of people that responded each genre over 200 to find the probabilities for each response.

Adventure:

`(38)/(200)=(19)/(100)=0.19`

Comedy:

`(28)/(200)=(7)/(50)=0.14`

Mystery:

`(88)/(200)=(11)/(25)=0.44`

Romance:

`(22)/(200)=(11)/(100)=0.11`

Other:

`(24)/(200)=(3)/(25)=0.12`