Solving Ch 2.1 & 2.2 Exercises (Sample Space & Events) | Walpole Prob & Statistics) | حل تمارين

(الوصف بالعربية) في هذا الفيديو، نقدم حلولاً مفصلة لمسائل شابتر 2 (الجزء 2.1 و 2.2) من كتاب "Probability and Statistics for Engineers and Scientists" الشهير بـ "كتاب Walpole". الشرح موجه للطلاب الذين يدرسون مساق الاحتمالات والإحصاء باللغة الإنجليزية، خاصة في كليات الهندسة والحابات والعلوم. نغطي بالتفصيل المفاهيم الأساسية الأولى في المادة. المفاهيم التي نغطيها في هذا الفيديو: تعريف وكتابة فضاء العينة (Listing Sample Spaces) استخدام طريقة القاعدة لوصف فضاء العينة (Rule Method) تعريف الأحداث (Events) العمليات على الأحداث: التقاطع والاتحاد (Intersections and Unions) الأحداث المتنافية (Mutually Exclusive Events) استخدام أشكال فن (Venn Diagrams) --- (English Description) This video provides detailed solutions for exercises from Chapter 2 (Sections 2.1 & 2.2) of the textbook: "Probability and Statistics for Engineers and Scientists," 9th Edition, by Walpole, Myers, & Ye. This tutorial is perfect for university students in engineering or science who are studying this subject in English. We cover the fundamental concepts of sample spaces and events by solving problems step-by-step. Topics covered in this video: Listing elements of a Sample Space (Problems 2.1, 2.5, 2.6, 2.7, 2.10, 2.11) Using the Rule Method (Problem 2.2, 2.4) Defining and understanding Events (Problems 2.3, 2.8, 2.9) Event Operations (Intersections, Unions, Complements) (Problems 2.8, 2.9, 2.16) Mutually Exclusive Events (Problem 2.18) --- #Probability #Statistics #Walpole #Engineering #SampleSpace #Events #Chapter2 #Solutions #احتمالات #إحصاء #هندسة #حل_مسائل #فضاء_العينة #شابتر2 #كتاب_Walpole Problems solved in the video: [00:41] Problem 2.1: Listing sample spaces (integers, solving equations, coin toss). [07:52] Problem 2.2: Describing a sample space (inside a circle) using a rule. [11:52] Problem 2.3: Identifying which events are equal. [14:54] Problem 2.6: Selecting a jury (explaining the importance of order/combination). [22:46] Problem 2.5: Experiment of rolling a die then a coin (using a Tree Diagram). [29:13] Problem 2.9: Defining events based on Problem 2.5. [33:42] Problem 2.7: Selecting 4 students (Male/Female) and defining sample spaces (S1, S2). [41:40] Problem 2.8: Rolling a pair of dice (green and red) and the impact of order. [46:34] Problem 2.12: Defining events (sum, specific number appearing) based on Problem 2.8. [01:00:10] Problem 2.10: Experiment (safe for fishing or not) for three rivers. [01:06:36] Problem 2.11: Selecting applicants for a position (explaining when order matters). [01:20:45] Problem 2.13: Experiment (exercise and diet) as a substitute for medication. [01:27:27] Problem 2.14: Union and intersection for continuous intervals. [01:30:35] Problem 2.18: Explaining the concept of mutually exclusive events.