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22/11/2019 Revisar envio do teste: Atividade - Statistics 3 – ... https://unifacs.blackboard.com/webapps/late-Course_Landing_Page_Course_100-BBLEARN/Controller# 1/5 Revisar envio do teste: Atividade - Statistics 3 Estatística Avaliação e Certificado Acesse a atividade e o Certificado de Statistics 3 Revisar envio do teste: Atividade - Statistics 3 Usuário GUILHERME LEDO FARIA BRANDAO Curso Estatística Teste Atividade - Statistics 3 Iniciado 22/11/19 23:31 Enviado 22/11/19 23:36 Status Completada Resultado da tentativa 5 em 10 pontos Tempo decorrido 5 minutos Resultados exibidos Respostas enviadas, Respostas corretas, Comentários Pergunta 1 Resposta Selecionada: Resposta Correta: Feedback da resposta: Skill: Determine the sampling distribution of the sample proportion and the sample mean in a given situation and apply it to determine likelihoods. "multiple choice" question: select the correct answer. There is 95% chance in a random sample of n=84 card users, the proportion of those who pay their bills in full every month will be: Between .20 and .40 Between .20 and .40 This is correct. When n=84, the mean and standard deviation of the sampling distribution are: p = .30 and p(1−p)n−−−−−√=.3(1−.3)84−−−−− −√=0.05, respectively.By the standard deviation rule, there is 95% chance that the sample proportion will be within two standard deviations of its mean. In other words, between .30 – 2(.05) = .20 and .30 + 2(.05) = .40. Pergunta 2 This is correct. This is the only incorrect statement. A 2015 CNN Money article provided the following information about the social class distribution of U.S. adults. Apply probability rules in order to find the likelihood of an event "multiple choice" question: select the correct answer. Two U.S. adults are chosen at random. What is the probability that both adults belong to the same social class? 1 em 1 pontos 1 em 1 pontos 22/11/2019 Revisar envio do teste: Atividade - Statistics 3 – ... https://unifacs.blackboard.com/webapps/late-Course_Landing_Page_Course_100-BBLEARN/Controller# 2/5 Resposta Selecionada: Resposta Correta: Feedback da resposta: .29 * .29 + .50 * .50 + .21 * .21 .29 * .29 + .50 * .50 + .21 * .21 This is correct. P(Both belong to the same social class) = P(Both Lower class or Both Middle class or Both Upper class) = [disjoint]P(Both Lower class) + P(Both Middle class) + P(Both Upper class) = [independence].29 * .29 + .50 * .50 + .21 * .21 Pergunta 3 Resposta Selecionada: Resposta Correta: A patient with a failing heart is waiting for a heart transplant. If a suitable transplant is found, the patient’s chances of survival are much higher than the patient’s chances of survival if a suitable transplant is not found. Let T be the event that a suitable Transplant is found. Let S be the event that the patient Survives The following probability tree summarizes the patient’s chances of finding a suitable transplant and survival. Use the tree to answer the following questions: Use Probability Trees as a tool to find probabilities "multiple choice" question: select the correct answer. Given that the patient survives, what is the probability that a suitable transplant was found (what is P(T|S))? (Some answers were rounded). .225 .616 Pergunta 4 Resposta Selecionada: Resposta Correta: Understand how probability quantifies uncertainty and relate the probability of an event to the likelihood of the event occurring. "multiple choice" question: select the correct answer. Let A be the event that a document will reach its destination on time using a certain service. If P(A)=.98 this means that: The document will almost always reach its destination on time The document will almost always reach its destination on time 0 em 1 pontos 1 em 1 pontos 22/11/2019 Revisar envio do teste: Atividade - Statistics 3 – ... https://unifacs.blackboard.com/webapps/late-Course_Landing_Page_Course_100-BBLEARN/Controller# 3/5 Feedback da resposta: This is correct. Pergunta 5 Resposta Selecionada: Resposta Correta: Skill: Determine the sampling distribution of the sample proportion and the sample mean in a given situation and apply it to determine likelihoods. "multiple choice" question: select the correct answer. Is it safe to assume that the sampling distribution of pˆ is approximately normal for random samples of size n=21? Yes, since n*(1-p) is greater than 10. No, since n*p is not greater than 10. Pergunta 6 Resposta Selecionada: Resposta Correta: Feedback da resposta: The probability table below summarizes the information that a large cable company provides about its customers: Where: T is the event that a randomly chosen customer subscribes to TV service I is the event that a randomly chosen customer subscribes to Internet service Create a probability table to organize and summarize information and use it to find probabilities "multiple choice" question: select the correct answer. In context, the fact that P(Not T and Not I) = 0 means that: All the customers subscribe to at least one of the two services. All the customers subscribe to at least one of the two services. This is correct. Pergunta 7 Fit the binomial model when appropriate, and use it to perform probability calculations. 0 em 1 pontos 1 em 1 pontos 0 em 1 pontos 22/11/2019 Revisar envio do teste: Atividade - Statistics 3 – ... https://unifacs.blackboard.com/webapps/late-Course_Landing_Page_Course_100-BBLEARN/Controller# 4/5 Resposta Selecionada: Resposta Correta: "multiple choice" question: select the correct answer. What are the mean and standard deviation of X, the number of females out of the 10 chosen who are binge drinkers? μx=10(0.15) −−−−−−−−√ , σx=10(0.15)(0.85) μx=10(0.15) , σx=10(0.15)(0.85)−−−−−−−−−−−−√ Pergunta 8 Resposta Selecionada: Resposta Correta: Skill: Determine the sampling distribution of the sample proportion and the sample mean in a given situation and apply it to determine likelihoods. "multiple choice" question: select the correct answer. Scores of the Math portion of the SAT (SAT-M) are known to have a national mean μ=500and standard deviation σ=100. A random sample of n=400 high-school seniors was chosen and their average SAT-M score was found to be x̅=522. Would this finding surprise you? Yes, since an average of 522 is larger than 500 and the sample size (n=400) is large enough. Yes, since an average of 522 is more than 4 standard deviations above 500. Pergunta 9 Resposta Selecionada: [Sem Resposta] A large cable company provides the following information regarding its customers: · 50% of all customers subscribe to internet service. · If a customer is an internet subscriber, there is 64% chance that he/she is also a phone subscriber. · If a customer is a phone subscriber, there is 80% chance that he/she is also an internet subscriber. Let A be the event that a customer subscribes to internet service Let B be the event that a customer subscribes to phone service Use the general multiplication rule to find P(A and B) "multiple choice" question: select the correct answer. What is the probability that a customer subscribes to both internet and phone service? 0 em 1 pontos 0 em 1 pontos 22/11/2019 Revisar envio do teste: Atividade - Statistics 3 – ... https://unifacs.blackboard.com/webapps/late-Course_Landing_Page_Course_100-BBLEARN/Controller# 5/5 Sexta-feira, 22 de Novembro de 2019 23h36min45s BRT Resposta Correta: P(A) * P(B|A) = .50 * .64 = .32 Pergunta 10 Resposta Selecionada: Resposta Correta: Feedback da resposta: A family eats out twice a month – once during the first week of the monthand once during the third week of the month, in one of the three local restaurants: R1, R2, or R3. Thus the outcome (R3, R2) denotes that on a given month the family eats in R3 during the first week of the month and in R2 during the third week of the month. It is possible for the family to eat at the same restaurant both on the first week and on the third week of the month. Apply probability rules in order to find the likelihood of an event Find the probability of events in the case when all outcomes are equally likely. Determine the sample space of a random experiment and identify which outcomes are included in a particular event "multiple choice" question: select the correct answer. A fair four sided die with the numbers 1,2,3, and 4 is rolled twice. Thus, for example, the outcome (4, 1) denotes that the die landed on a 4 on the first roll and on 1 on the second. What is the probability that the sum of the numbers showing in the two rolls is 3? 1/8 1/8 This is correct. This experiment has 16 possible outcomes: (1,1) (1,2) (1,3) (1,4)(2,1) (2,2) (2,4) (2,4)(3,1) (3,2) (3,3) (3,4)(4,1) (4,2) (4,3) (4,4)and since the die is fair, all 16 outcomes are equally likely. In two of the 16 possible outcomes the sum of the numbers is 3 [(1,2) and (2,1)] and therefore the probability is 2/16=1/8. ← OK 1 em 1 pontos
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