Q:

WILL GIVE A BRAINLEST & 50PTS -PLZ HELP THANKS!!!The two-way table shows the distribution of gender to favorite film genre for the senior class at Mt. Rose High School.Which statement is true?The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.Event F for female and event D for drama are independent events.The probability of randomly selecting a male student, given that his favorite genre is horror, is 16/40.Event M for male and event A for action are independent events

Accepted Solution

A:
Answer:Correct choice is BStep-by-step explanation:Events A and B are independent then[tex]Pr(A\cap B)=Pr(A)\cdot Pr(B).[/tex]Consider events F and D:[tex]Pr(F)=\dfrac{144}{240}=\dfrac{12}{20}=\dfrac{6}{10};[/tex][tex]Pr(D)=\dfrac{40}{240}=\dfrac{1}{6};[/tex][tex]Pr(F\cap D)=\dfrac{24}{240}=\dfrac{1}{10}.[/tex]Note that [tex]Pr(F)\cdot Pr(D)=\dfrac{6}{10}\cdot \dfrac{1}{6}=\dfrac{1}{10}=Pr(F\cap D).[/tex]This means that events F and D are independent.