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.)
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.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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