A math teacher is not happy about the attendance of her class at her online lectures. She decides that she will not lecture unless at least twelve of fifteen students enrolled in the class are attending the lecture. Each student will connect to the online lecture with a probability of 0.2437 if there is a good internet connection and a probability of 0.7311 if there is a bad internet connection. The probability that there is a bad internet connection is 0.1. Given that there is a bad internet connection on a given day, write down the expression for the probability that the teacher will teach her class and calculate the probability.

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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A math teacher is not happy about the attendance of her class at her online lectures. She decides that she will not lecture unless at least twelve of fifteen students enrolled in the class are attending the lecture. Each student will connect to the online lecture with a probability of 0.2437 if there is a good internet connection and a probability of 0.7311 if there is a bad internet connection. The probability that there is a bad internet connection is 0.1. Given that there is a bad internet connection on a given day, write down the expression for the probability that the teacher will teach her class and calculate the probability.

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