ABC Constructing Co. Ltd. Is involved in theconstruction business. The management ofthe firm has come to know about thelikelihood of a strike by some of itsemployees. It is understood from theinformation available that there is a 65%probability that its skilled workers will go onstrike and 85% probability that its unskilledworkers will go on strike. Further if theunskilled workers go on a strike, there is a72% probability that its skilled workers willgo on a strike. A strike by skilled workers anda Strike by unskilled workers are dependentevents.(a) What is the probability that both thegroups will go on strike together?(b) What is the probability that theunskilled workers will go on strike but theskilled workers will not go on a strike ?

Answered: Image /qna-images/answer/89069cf2-0c04-4742-937d-0ae3a4060f0d.jpg

Answered: ABC Constructing Co. Ltd. Is involved…

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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According to the Chronicles of Contrived Statistics (March, 2016), the probability that scientists from Area 51 will begin selling pet aliens in the next month is 38%. The probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 59%. Finally, they list that probability of both happening in the next month is 25%. What is the probability that Elon Musk will offer you a free trip into space in the next month?
A manufacturing company produces two types of smartphones, A and B. 30% of the smartphones produced are type A, while 70% are type B. The defect rate for type A smartphones is 2%, while the defect rate for type B smartphones is 4%. If a customer receives a defective smartphone, what is the probability that it is of type A? Show your calculations and reasoning.
According to the Chronicles of Contrived Statistics (March, 2016), the probability that scientists from Area 51 will begin selling pet aliens in the next month is 21%. The probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 55%. Finally, they list that probability of both happening in the next month is 22%. What is the probability that Elon Musk will offer you a free trip into space in the next month?
4. If a randomly chosen athlete tests negative, what’s the probability that the student took a banned substance? Explain why it makes sense for the drug-testing process to be designed so that this probability is less than the one you found in Question 3.5. The district decides to immediately retest any athlete who tests positive. Assume that the results of an athlete’s two tests are independent. Find the probability that a student who gets a positive result on both tests actually took a banned substance. Based on your answer, do you think that an athlete who tests positive twice should be suspended from athletic competition for a year? Why or why not?
According to IT department of leading financial firm, 50% of emails received by their employees are spam. They are planning to install a software which filters the spam emails. A reputable cybersecurity brand has launched a software which claims to detect 99% of spam emails. However, they have also reported 5% as the chance of detecting a non-spam email as spam. If an email is detected as spam, what is the probability of it in fact being a non-spam email?
Both flu and covid produce fevers. You know from past research that 10% of the population gets flu each year, but it is possible to get both covid and flu. Assume that the probability of getting flu and covid are independent. If this year the percentage of people reporting fever is 20%, what percentage of the population has covid? Studies show that due to similar transmission of flu and covid, someone who has covid has a 20% chance of also getting flu. What then is the probability of someone who has flu also having covid? Given the conditional information above, what is a better estimate of the percentage of people who have covid given the 20% fever reporting?
In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks. The probability that the vehicle was made by Company A was 0.386, by Company B 0.350, and by Company C 0.258. Additionally, the probability that a Company A vehicle sold was a car was 0.379, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0.332. Given the vehicle sold was a car, find the probability it was made by Company A. The probability a vehicle was made by Company A, given it was a car is (Round to three decimal places as needed.)
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According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two randomly selected Americans and assume that these two randomly selected Americans are independent of each other. The probability that neither of these two randomly selected Americans will contract the influenza virus in a given year is
On our way to work we encounter two traffic lights which operate independently of one another. If there is a 50% chance that we will be stopped by the first of the two lights, and there is a 40% chance that we will be stopped by the second light, what is the probability that we will be stopped by at least one of the lights?
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A market research firm is using an on-line survey to investigate the value that customers place on features of a product. Survey respondents must log in and answer some questions. The survey's quality control process can detect respondents who rush through the survey or give illogical answers. Data from such respondents are rejected and not used in the research. On average, data from 30% of the respondents are rejected. If currently on average 5 respondents log in per day, what is the probability that exactly 8 respondents willI log in on any given day? O a. 0.048 O b. 0.065 Oc 0.056 Dd. 0.079

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