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 NoO Yesb. 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.)

Givenprobability that a student studies for a test =0.76Probability that a student gets a good grade…

Answered: A teacher has found that the…

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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Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 146 subjects with positive test results, there are 25 false positive results; among 151 negative results, there are 5 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.) The probability that a randomly selected subject tested negative or did not use marijuana is (Do not round until the final answer. Then round to three decimal places as needed.)
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