Thanks for your detailed explanation A student's alarm clock fails to go off 1 time out of 3. In addition, the student misses the bus withprobability 1/2 if his alarm clock fails. If his alarm clock works, he misses the bus with probability. Ifthe student's alarm clock fails and he misses the bus, he arrives late to class with probability //2. Thisprobability is reduced to 1/6 if the alarm clock works and he does not miss the bus. In all other situations(i.e., when the alarm clock fails and he does not miss the bus, and alarm clock works and he misses thebus), the probability of the student being late to class is 14.(a) On a random day, what is the probability that the student's alarm clock works, he does not miss thebus and he is not late to class? Make sure to clearly define all notation used. (b) What is the probabilitythat this student arrives late to class? (c) What is the probability that the alarm clock failed, given that hearrived late to class?

Let us denote the events: A: Alarm works. B: student miss the bus C: Student arrives the class late.…

A student's alarm clock fails to go off 1 time out of 3. In addition, the student misses the bus with probability ½/2 if his alarm clock fails. If his alarm clock works, he misses the bus with probability. I the student's alarm clock fails and he misses the bus, he arrives late to class with probability. This probability is reduced to 1/6 if the alarm clock works and he does not miss the bus. In all other situation (i.e., when the alarm clock fails and he does not miss the bus, and alarm clock works and he misses the

A student's alarm clock fails to go off 1 time out of 3. In addition, the student misses the bus with probability ½/2 if his alarm clock fails. If his alarm clock works, he misses the bus with probability. I the student's alarm clock fails and he misses the bus, he arrives late to class with probability. This probability is reduced to 1/6 if the alarm clock works and he does not miss the bus. In all other situation (i.e., when the alarm clock fails and he does not miss the bus, and alarm clock works and he misses the

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

See similar textbooks