The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.55, and theprobability that he must stop at at least one of the two signals is 0.8.(a) What is the probability that he must stop at both signals?(b) What is the probability that he must stop at the first signal but not at the second one?(c) What is the probability that he must stop at exactly one signal?

Answered: Image /qna-images/answer/eb19a06b-6e3f-45a7-9969-e3b041502f96.jpg

Answered: The route used by a certain motorist in…

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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Similar questions

A students is going to graduate from a business department of a university by the end of the semester. After being interviewed at two companies he likes, he assesses that his probability of getting an offer from company A is 0.7, and his probability of getting an offer from company B is 0.55. If he believes that the probability that he will get offers from both companies is 0.38, what is the probability that he will get at least one offer from these two companies?
The probability that an automobile being filled with gasoline will also need an oil change is 0.25; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and filter need changing is 0.14. If a new oil filter is needed, what is the probability that the oil has to be changed?
At a bar, 30% of those in attendance are football fans, 50% in attendance are soccer fans, and 20% in attendance are hockey fans. You may assume these sports fandoms are mutually exclusive. The probability that a football fan is wearing a red shirt is 15%. The probability that a soccer fan is wearing a red shirt is 45% and the probability that a hockey fan is wearing a red shirt is 85%. You have just talked to a randomly selected person who was wearing a red shirt, but forgot to ask them their preferred sport. What is the probability that they are a soccer fan? What is the probability that a randomly selected bar patron is a soccer fan AND they are wearing red? What is the probability that a randomly selected part goer is a soccer fan OR they are wearing red?
For this problem, assume that you weigh 500 duck hatchlings. You find that 93 are slightly underweight, 6 are severely underweight, and the rest are normal. (1) What probability should be assigned to a single duck hatchling's being slightly underweight? (2) What probability should be assigned to a single duck hatchling's being severely underweight? (3) What probability should be assigned to a single duck hatchling's being normal?
Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.27, the probability that "she's up all night for good fun" is 0.39, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.35, what's the probability that "she's up all night 'til the sun"? Round to 2 decimal places as needed. Your Answer: Answer
Jay-Z has applied to both The School of Hard Knocks and The University of OG's. He thinks the probability that The School of Hard Knocks will admit him is 0.4, the probability that The University of OG's will admit him is 0.5, and the probability that both will admit him is 0.2. Creating a Venn Diagram is Helpful. What is the probability that Jay-Z gets into The School of Hard Knocks but not The University of OGʻs?
The probability that a student at a university is a male is 0.48, that a student is a business major is 0.14 and that a student is a male and a business major is 0.06. Find the probability that a randomly selected student from this university (a) is a male or business major. (b) is a male given that he is a business major. (c) is either a male or a business major but not both. (d) is neither male nor business major. (e) Are male and business major independent events?
The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.65, the probability that a car brought into the shop requires brake repair is 0.35, and the probability that a car requires both an oil change and brake repair is 0.24. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair. The probability that the car requires an oil change or brake repair is (Type an integer or a decimal.)
Given the probability that "she's up all night 'til the sun" is 0.39, the probability that "she's up all night for good fun" is 0.30, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.18, what's the probability that "she's up all night 'til the sun" OR "she's up all night for good fun"? Round to 2 decimal places as needed.
A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.96, and the probability that at least one if the two engines does so is 0.98 and the probability that both engine do so is 0.935. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?
Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.34, the probability that "she's up all night for good fun" is 0.08, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.34, what's the probability that "she's up all night 'til the sun"?
Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.30, the probability that "she's up all night for good fun" is 0.10, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.40, what's the probability that "she's up all night 'til the sun"? Round to 2 decimal places as needed.

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