Responses should be more than I agree or I disagree 1 In eac

Responses should be more than I agree or I disagree. 1. In each of the following cases, decide whether or not a binomial distribution is an appropriate model, and give your reasons. a. A firm uses a computer-based training module to prepare 20 machinist to use new numerically controlled lathes. The module contains a test at the end of the course; X is the number who perform satisfactorily on the test. b. The list of potential product testers for a new product contains 100 person chosen at random from the adult residents of a large city. Each person on the list is asked whether he or she would participate in the study if given the chance; X is the number who say \"Yes\". 2. Either in a job you currently have or one that you would like to have describe a data set you could collect that would be in the binomial setting.

Solution

a. A firm uses a computer-based training module to prepare 20 machinist to use new numerically controlled lathes. The module contains a test at the end of the course; X is the number who perform satisfactorily on the test.

this is a binomial distribtuion because we have a sample n = 20

and we have that X is the number who perfom satisfactorily on the test can be positive or negative so this can be the probability of success or failure in a proability binomial distribution

b. The list of potential product testers for a new product contains 100 person chosen at random from the adult residents of a large city. Each person on the list is asked whether he or she would participate in the study if given the chance; X is the number who say \"Yes\".

this also is a binomial distribution because the people on the list for asking for participation can be yes or no

so the probability of sucess is Yes and failure is for NO

the sample size is 100 that are the persons chosen at random from the adult residents of a large city.