Question

Referring to the table below, are the events is a senior and is female independent​

Answer 1

a

Explanation:

If independent,

P(senior and female) = P(senior) × P(female)

0.12 = 0.22 × 0.46

0.12 = 0.1012 (false)

So, not independent

Answer 2

Probability of being senior: P(A) = 0.22

Probability of being female: P(B) = 0.46

=> P(A) x P(B) = 0.22 x 0.46 = 0.10

Otherwise, probability of being senior and female: P(A⋂B) = 0.12

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent

Hope this helps!

:)