A group of 200 teenagers took a driving test. Before the test, some took a particular driver's education class, and the rest did not. The results are reported in the following two-way frequency table. Did not take the class Took the class Failed Test 77 21 Passed Test 48 54 A teenager is chosen at random from the group. Complete the following. Write your answers as decimals. (If necessary, consult a list of formulas.) (a) Find the probability that the teenager passed the test. P(passed) = (b) Find the probability that the teenager passed the test, given that she took the class. P(passed | class) = 0 (c) Is there evidence that a teenager who takes the class is more likely to pass the test than a randomly chosen teenager from the group? OYes, because the probability found in part (b) is much greater than the probability found in part (a). O No, because the probability found in part (b) is much greater than the probability found in part (a). OYes, because the probability found in part (a) is much greater than the probability found in part (b). O No, because the probability found in part (a) is much greater than the probability found in part (b). Yes, because the probability found in part (b) is about the same as the probability found in part (a). No, because the probability found in part (b) is about the same as the probability found in part (a).

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A group of 200 teenagers took a driving test.
Before the test, some took a particular driver's education class, and the rest did not.
The results are reported in the following two-way frequency table.
Did not take the class
Took the class
Failed Test
77
21
Passed Test
48
54
A teenager is chosen at random from the group.
Complete the following. Write your answers as decimals.
(If necessary, consult a list of formulas.)
(a) Find the probability that the teenager passed the test.
P(passed) =
(b) Find the probability that the teenager passed the test, given that she took the class.
P(passed class) =
(c) Is there evidence that a teenager who takes the class is more likely to pass the test than a randomly
chosen teenager from the group?
Yes, because the probability found in part (b) is much greater than the probability found in part (a).
O No, because the probability found in part (b) is much greater than the probability found in part (a).
OYes, because the probability found in part (a) is much greater than the probability found in part (b).
O No, because the probability found in part (a) is much greater than the probability found in part (b).
OYes, because the probability found in part (b) is about the same as the probability found in part (a).
No, because the probability found in part (b) is about the same as the probability found in part (a).
Transcribed Image Text:A group of 200 teenagers took a driving test. Before the test, some took a particular driver's education class, and the rest did not. The results are reported in the following two-way frequency table. Did not take the class Took the class Failed Test 77 21 Passed Test 48 54 A teenager is chosen at random from the group. Complete the following. Write your answers as decimals. (If necessary, consult a list of formulas.) (a) Find the probability that the teenager passed the test. P(passed) = (b) Find the probability that the teenager passed the test, given that she took the class. P(passed class) = (c) Is there evidence that a teenager who takes the class is more likely to pass the test than a randomly chosen teenager from the group? Yes, because the probability found in part (b) is much greater than the probability found in part (a). O No, because the probability found in part (b) is much greater than the probability found in part (a). OYes, because the probability found in part (a) is much greater than the probability found in part (b). O No, because the probability found in part (a) is much greater than the probability found in part (b). OYes, because the probability found in part (b) is about the same as the probability found in part (a). No, because the probability found in part (b) is about the same as the probability found in part (a).
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