Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event that the person has gone surfing, and let B be the event that the person has gone snowboarding.

A 4-column table has 3 rows. The first column has entries has surfed, never surfed, total. The second column is labeled has snowboarded with entries 36, 12, 48. The third column is labeled never snowboarded with entries 189, 63, 252. The fourth column is labeled total with entries 225, 75, 300.

Which statement is true about whether A and B are independent events?

{A and B are independent events}, P(A|B)=P(A)=0.16

Step-by-step explanation:

First of all we need to know when does two events become independent:

For the two events to be independent,  P(A|B)=P(A) that is if condition on one does not effect the probability of other event.

Here, in our case the only option that satisfies the condition for the events to be independent is  P(A|B)=P(A)=0.16.. Rest are not in accordance with the definition of independent events.

{A and B are independent events}, P(A|B)=P(A)=0.16

Step-by-step explanation:

just took it

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.