Question

Please help the 3 box is supposed to be equal/ unequal and the 4th is supposed to be dependent/ independent

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

p(male) x p(pass)

The type of event.

Given:

Total number of male =40+25 =65

Total number of pass =40 + 88 =128

Total number of students = 40 + 88 + 25 + 55 =208

Determine each probability using the formula below:

`probability=\frac{required\text{ outcome}}{all\text{ possible outcome}}`
`P(male)=(65)/(208)`
`P(pass)=(128)/(208)`
`\begin{gathered} P(male)* p(passed)=(65)/(208)*(128)/(208) \\ \\ =(8320)/(43264) \\ \\ \approx0.192 \end{gathered}`
`\begin{gathered} P(male\text{ and pass\rparen=}(40)/(208) \\ \\ \approx0.192 \end{gathered}`

The two results are independent.

ANSWER

Since p(male) x p(passed) =0.192 and P(male x passed) = 0.192, the two results are the same so the events are independent.