Ejercicios de la guia 2 de la plataforma pearson, Ejercicios de Análisis Matemático

¡Descarga Ejercicios de la guia 2 de la plataforma pearson y más Ejercicios en PDF de Análisis Matemático solo en Docsity!

12/8/22, 12:11 Actividad 1 - Guía 2-Laura Cortes Instructor: JOSE ALEXANDER Student: Laura Cortes FUENTES MONTOYA , a ; Date: 08/12/22 Course: Análisis Multivariado y Assignment: Actividad 1 - Guía 2 Funcional G1C3 A random sample of adults are classified by sex and their level of Education Female Male education. A person is selected at random from this group. Complete Elementary 105 70 parts (a) and (b) below. Secondary 105 90 College 75 55 (a) What is the probability that the person is a male, given that the person has a secondary education? Let A be the event that the person has a secondary education and B be the event that the person is male. The conditional probability of B, given A, denoted by P(B | A), is defined by the following formula, provided that P(A) > 0. PAN B) PB 1A)= pg To find the conditional probability P(B | A), first find P(A N B), the probability that the person is male and has a secondary education. This probability is equal to the number of people that satisfy both conditions divided by the total number of people surveyed. There are 90 people who were surveyed that are male and have a secondary education, and 500 people surveyed in total. Divide to find P(A N B). 9 PAN B)== Now find the probability that the person surveyed has a secondary education, P(A). Find the total number of people surveyed that have a secondary education. There are a total of 195 people surveyed that have a secondary education. The probability that the person has a secondary education is equal to the number of people surveyed that have secondary educations divided by the total number of people surveyed. Find the probability that the person surveyed has a secondary education, P(A). Recall that there were 500 people surveyed in total. 39 PA= 05 Calculate P(B | A). P(AN B) P(A) 9 5 ME 100 6 EE P(B|A)= (b) What ¡is the probability that the person does not have a college degree, given that the person is a female? Use the formula for conditional probability given in part (a). Let A be the event that the person is female and let B be the event that the person does not have a college degree. To find the conditional probability P(B | A), first find P(A N B), the probability that the person is female and does not have a college degree. This probability is equal to the number of people that satisfy both conditions divided by the total number of people surveyed. There are 210 people who were surveyed that are female and do not have a college degree, and a total of 500 people surveyed. https://xlitemprod.pearsoncmg.com/api/v1/print/highered 112