Question

question 3 of 10
a survey asks teachers and students whether they would like the new school mascot to be a viking or a patriot. this table shows the results.

	vikings	patriots	total
teachers	5	20	25
total	85	40	125

a person is randomly selected from those surveyed.

are being a student and preferring \viking\ independent events? why or why not?

a. no, they are not independent because ( p(\text{student}) = 0.80 ) and ( p(\text{student|viking}) = 0.68 ).

b. yes, they are independent because ( p(\text{student}) = 0.80 ) and ( p(\text{student|viking}) = 0.68 ).

c. yes, they are independent because ( p(\text{student}) = 0.80 ) and ( p(\text{student|viking}) approx 0.94 ).

d. no, they are not independent because ( p(\text{student}) = 0.80 ) and ( p(\text{student|viking}) approx 0.94 ).

Explanation:

Answer:

D. No, they are not independent because \( P(\text{student}) = 0.80 \) and \( P(\text{student|Viking}) \approx 0.94 \).