Use the two way table below to answer the question given. Favor Do not favor No opinion
Male 20 15 17
Female 18 12 7
Are the events 'male' and 'favor independent?

Since , these two events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are independent if:

In this question:

Event A: Male

Event B: Independent

Probability of male:

20 + 15 + 17 = 52 out of (20 + 15 + 17 + 18 + 12 + 7) = 89.

So

Probability of favoring independent:

20 + 18 = 38 out of 89. So

Probability of male and favoring independent:

20 out of 89. So

Test if they are independent:

Since , these two events are not independent.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: