You are selling a car brand that has 2 factories. The factories output is equal. Lately, 2.5%
Question:
The factories’ output is equal. Lately, 2.5% of the cars from Factory A have had problems with their brakes, whereas only 0.5% of the cars from Factory B have had such problems. The manufacturer never reveals which factory has produced which cars, and you now have a big new shipment of cars from one of these factories, but you don’t know which. You test 150 of these cars, and find brake problems in only one of them.
(a) What is the prior probability that the shipment is from Factory B?
(b) What is the posterior probability that the shipment is from Factory B?
(c) What is the probability p that there is a problem with the brakes of the next car?
(d) What is the probability that there is a problem with the brakes of 50 or more of the next 3000 cars?
(e) What error could you have committed in the previous calculation?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answered By
Nicholas Maina
Throughout my tutoring journey, I've amassed a wealth of hands-on experience and honed a diverse set of skills that enable me to guide students towards mastering complex subjects. My proficiency as a tutor rests on several key pillars:
1. Subject Mastery:
With a comprehensive understanding of a wide range of subjects spanning mathematics, science, humanities, and more, I can adeptly explain intricate concepts and break them down into digestible chunks. My proficiency extends to offering real-world applications, ensuring students grasp the practical relevance of their studies.
2. Individualized Guidance:
Recognizing that every student learns differently, I tailor my approach to accommodate various learning styles and paces. Through personalized interactions, I identify a student's strengths and areas for improvement, allowing me to craft targeted lessons that foster a deeper understanding of the material.
3. Problem-Solving Facilitation:
I excel in guiding students through problem-solving processes and encouraging critical thinking and analytical skills. By walking learners through step-by-step solutions and addressing their questions in a coherent manner, I empower them to approach challenges with confidence.
4. Effective Communication:
My tutoring proficiency is founded on clear and concise communication. I have the ability to convey complex ideas in an accessible manner, fostering a strong student-tutor rapport that encourages open dialogue and fruitful discussions.
5. Adaptability and Patience:
Tutoring is a dynamic process, and I have cultivated adaptability and patience to cater to evolving learning needs. I remain patient through difficulties, adjusting my teaching methods as necessary to ensure that students overcome obstacles and achieve their goals.
6. Interactive Learning:
Interactive learning lies at the heart of my approach. By engaging students in discussions, brainstorming sessions, and interactive exercises, I foster a stimulating learning environment that encourages active participation and long-term retention.
7. Continuous Improvement:
My dedication to being an effective tutor is a journey of continuous improvement. I regularly seek feedback and stay updated on educational methodologies, integrating new insights to refine my tutoring techniques and provide an even more enriching learning experience.
In essence, my hands-on experience as a tutor equips me with the tools to facilitate comprehensive understanding, critical thinking, and academic success. I am committed to helping students realize their full potential and fostering a passion for lifelong learning.
5+ Reviews
16+ Question Solved
Related Book For 
The Bayesian Way Introductory Statistics For Economists And Engineers
ISBN: 9781119246879
1st Edition
Authors: Svein Olav Nyberg
Question Posted:
