My office has two chairs and I like students to be able to sit down when...

 

Transcribed Image Text:

My office has two chairs and I like students to be able to sit down when they come to office hours. I don't mind standing. Suppose that 1% of students in the class I teach attends my office hours. There are 220 students enrolled in my class and they decide to come to office hours independently. I wonder whether I will have to get more chairs during office hours today. i) The number of students who will show up at my office hours can be modeled by a Binomial model. What are the parameters? ii) Could you use a Poisson model to approximate this Binomial model and why? If so, what is its parameter? iii) Using the Poisson model, what is the probability that I will need to get exactly one additional chair? iv) Using the Poisson model, what is the probability that I won't have to get additional chairs? v) Using the Poisson model, what is the probability that I will need to get more than one additional chair? My office has two chairs and I like students to be able to sit down when they come to office hours. I don't mind standing. Suppose that 1% of students in the class I teach attends my office hours. There are 220 students enrolled in my class and they decide to come to office hours independently. I wonder whether I will have to get more chairs during office hours today. i) The number of students who will show up at my office hours can be modeled by a Binomial model. What are the parameters? ii) Could you use a Poisson model to approximate this Binomial model and why? If so, what is its parameter? iii) Using the Poisson model, what is the probability that I will need to get exactly one additional chair? iv) Using the Poisson model, what is the probability that I won't have to get additional chairs? v) Using the Poisson model, what is the probability that I will need to get more than one additional chair?

Answer rating: 100% (QA)

Solutions Step1 Step1 i Parameters of the Binomial model The Binomial model has two parameters n the number of trials p the probability of success on ... View the full answer