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Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to get to work on time. If he leaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8 minutes. In between his house and his work there are three traffic lights, A, B, and C. Each light that stops him will cause him to arrive an additional 2 minutes later. The following table displays the probability that he is stopped by each of the three traffic lights. Assume that the probability that he is stopped by any given light is independent of the probability that he is stopped by any other light. Traffic light A Traffic light B Traffic light C P(A) P(B) P(C) 0.6 0.4 0.9 What is the probability that the employee is not late for work? Please write your answer in decimal form, rounded to three decimal places. P(employee is not late for work) = 604

Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to get to work on time. If he leaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8 minutes. In between his house and his work there are three traffic lights, A, B, and C. Each light that stops him will cause him to arrive an additional 2 minutes later. The following table displays the probability that he is stopped by each of the three traffic lights. Assume that the probability that he is stopped by any given light is independent of the probability that he is stopped by any other light. Traffic light A Traffic light B Traffic light C P(A) P(B) P(C) 0.6 0.4 0.9 What is the probability that the employee is not late for work? Please write your answer in decimal form, rounded to three decimal places. P(employee is not late for work) = 604

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to get to work on time. If he leaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8 minutes. In between his house and his work there are three traffic lights, A, B, and C. Each light that stops him will cause him to arrive an additional 2 minutes later. The following table displays the probability that he is stopped by each of the three traffic lights. Assume that the probability that he is stopped by any given light is independent of the probability that he is stopped by any other light. | | Traffic light A | Traffic light B | Traffic light C | |---------------------|----------------|-----------------|-----------------| | **P(A)** | 0.6 | | | | **P(B)** | | 0.4 | | | **P(C)** | | | 0.9 | What is the probability that the employee is not late for work? Please write your answer in decimal form, rounded to three decimal places. \( P(\text{employee is not late for work}) = \boxed{.604} \)
Transcribed Image Text:Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to get to work on time. If he leaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8 minutes. In between his house and his work there are three traffic lights, A, B, and C. Each light that stops him will cause him to arrive an additional 2 minutes later. The following table displays the probability that he is stopped by each of the three traffic lights. Assume that the probability that he is stopped by any given light is independent of the probability that he is stopped by any other light. | | Traffic light A | Traffic light B | Traffic light C | |---------------------|----------------|-----------------|-----------------| | **P(A)** | 0.6 | | | | **P(B)** | | 0.4 | | | **P(C)** | | | 0.9 | What is the probability that the employee is not late for work? Please write your answer in decimal form, rounded to three decimal places. \( P(\text{employee is not late for work}) = \boxed{.604} \)
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