Find the total amount of people that responded with a genre from those listed by adding all the numbers in the table:
[tex]38+28+88+22=176[/tex]
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:
[tex]200-176=24[/tex]
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:
[tex]\frac{38}{200}=\frac{19}{100}=0.19[/tex]
Comedy:
[tex]\frac{28}{200}=\frac{7}{50}=0.14[/tex]
Mystery:
[tex]\frac{88}{200}=\frac{11}{25}=0.44[/tex]
Romance:
[tex]\frac{22}{200}=\frac{11}{100}=0.11[/tex]
Other:
[tex]\frac{24}{200}=\frac{3}{25}=0.12[/tex]