In a statistics class, students are given a homework assignment which can be described as the followings: (a) develop an experiment; (b) design a question; and (c) determine a probability distribution based upon the experiment you developed. One student develops an experiment: he puts 20 balls in a black box (i.e., it is not possible to see inside). These 20 balls include 15 white balls and 5 red balls. He closes his eyes and randomly selects 3 balls without replacement from this box. He designs a question: what is the probability that he exactly picks 2 red balls? He finally claims that this experiment is the binomial experiment, which means that the random variable is the binomial probability distribution. His reason is: you either pick white ball or red ball, so there are only two outcomes. It is impossible that you can have the third outcome. Therefore, it is a binomial experiment. Do you agree with the student’s claim? Does it make any sense? Why or why not? Discuss and explain your reasons. You must provide your statistical analysis and reasons.
In a statistics class, students are given a homework assignment which can be described as the followings: (a) develop an experiment; (b) design a question; and (c) determine a
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