A teacher has found that the probability that a student studies for a test is 0.75, and the probability that a student gets a good grade on a test is 0.64, and the probability that both occur is 0.56 a. Are these events independent? b. Given that a student studies, find the probability that the student gets a good grade. c. Given that a student gets a good grade, find the probability that the student studied. a. Are these events independent? O No O Yes b. Given that a student studies, the probability that the student gets a good grade is (Type an integer or decimal rounded to two decimal places as needed.) c. Given that a student gets a good grade, the probability that the student studied is (Type an integer or decimal rounded to two decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A teacher has found that the probability that a student studies for a test is 0.75, and the probability that a student gets a good grade on a test is 0.64, and the probability that both occur is 0.56.
a. Are these events independent?
b. Given that a student studies, find the probability that the student gets a good grade.
c. Given that a student gets a good grade, find the probability that the student studied.
a. Are these events independent?
O No
O Yes
b. Given that a student studies, the probability that the student gets a good grade is
(Type an integer or decimal rounded to two decimal places as needed.)
c. Given that a student gets a good grade, the probability that the student studied is
(Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:A teacher has found that the probability that a student studies for a test is 0.75, and the probability that a student gets a good grade on a test is 0.64, and the probability that both occur is 0.56. a. Are these events independent? b. Given that a student studies, find the probability that the student gets a good grade. c. Given that a student gets a good grade, find the probability that the student studied. a. Are these events independent? O No O Yes b. Given that a student studies, the probability that the student gets a good grade is (Type an integer or decimal rounded to two decimal places as needed.) c. Given that a student gets a good grade, the probability that the student studied is (Type an integer or decimal rounded to two decimal places as needed.)
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