# AlexanderGil 212066 Phase 1

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PHASE 1 RECOGNIZE AND ANALYZE THE PROBLEM RAISED IN AN Fabio Alexander Gil  –  16076135 Tutor : Paula Andrea Carvajal Curso: 212066_45 UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA  –  UNAD   SCHOOL OF BASIC SCIENCES, TECHNOLOGY AND ENGINEERING INDUSTRIAL ENGINEERING PROGRAM CCAV DOSQUEBRADAS SEPTEMBER 2019    TABLA DE CONTENIDO INTRODUCTION  ...................................................................................................................... 3   SOLUTION PROBLEM 1  ........................................................................................................ 4   Exercise 1. Probabilities of a given event: .............................................................................. 4   SOLUTION PROBLEM 2  ........................................................................................................ 5   Exercise 2. Graphic solution of equations: ............................................................................. 5   SOLUTION PROBLEM 3  ........................................................................................................ 6   Exercise 3. Matrix operations: ................................................................................................ 6   CONCLUSIONS ........................................................................................................................ 9   BIBLIOGRAPHY  ....................................................................................................................... 9      INTRODUCTION In the following work, it can be evidenced the exercises developed in the guide of previous knowledge These exercises consist of evidencing knowledge about probability, matrices and graphical solutions of equations which will be useful in the development of the course decision theory, which will be of great importance for working life    SOLUTION PROBLEM 1 Exercise 1. Probabilities of a given event: In a bag there are 10 balls numbered from 11 to 20, some red and others green. Consider, then, a sample space that has 10 elements: E = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20} With the above data, answer: a) We take out without looking at a ball, what is the probability of getting a prime number? b) It is known that the probability of taking the green ball is 3/5. ¿How many balls are there in each color? R/= A ( )=°   °   =4 ú 10    ( )=410= 25  R/=B (   )=°   °   =3 5 =610=      

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