Question

Please help me with this problemThe options for the 3rd box is equal/unequal and the 4th box is dependent/independent

Answer 1

Since P(female) x P(fail) = 0.262 and P(female and fail) = 0.262, the two results are equal so the event are independent.

Step-by-step explanation

Given:

Total number of students = 30 + 109 + 70 + 39 = 248

Total number of male = 30 + 70 = 100

Total number of female = 109 + 39 = 148

Total number of pass = 30 + 109 = 138

Total number of fail = 70 + 39 = 109

Hence, P(female) x P(fail) is

`P(female)* P(fail)=(148)/(248)*(109)/(248)=(4033)/(15376)=0.262`

The P(female and fail) is

`P(female\text{ }and\text{ }fail)=(148)/(248)*(109)/(248)=(4033)/(15376)=0.262`

Since P(female) x P(fail) = 0.262 and P(female and fail) = 0.262, the two results are equal so the event are independent.