The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport. soccer sophomores (35%) 50% juniors (33%) 45% seniors (32%) 30% total (100%) (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 or about 42% ***find the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport options 0.45 0.78 0.15

0.353

Step-by-step explanation:

We are given the table shows the percentage of students in each of three grade levels who list soccer as their favorite sport.

Sophomores (35%)50%

Juniors (33%)45%

Seniors (32%)30%

Total (100%)=  (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 ≈ 42%

Now we are supposed to find the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport.

Junior who list soccer as their favorite sport =

Total students who list soccer as their favorite sport is 42% =0.42

Probability that any student selected from all three grades is a junior who lists soccer as the favorite sport =

                                                      =

Hence the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport is 0.353.