Respuesta :
Answer:
35.4%
Step-by-step explanation:
We are given that,
The percentage of students in junior level who likes soccer = 33% of 45%
i.e. The percentage in junior who likes soccer = = 0.33 × 0.45 = 0.1485 = 14.85%
Also, the total percent of the students who likes soccer = 0.4195 = 41.95% ≅ 42% = 0.42
Thus, we get,
Probability of students in junior level who likes soccer = [tex]\frac{0.1485}{0.42}[/tex] = 0.354
Thus, the probability of the students in junior level liking soccer is 35.4%
Answer:
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 = [tex]33\% \times 45 \% = 0.33 \times 0.45=0.1485[/tex]
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 = [tex]\frac{0.1485}{0.42}[/tex]
= [tex]0.3535[/tex]
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.
