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determine whether the following procedure results in a binomial distrib…

Question

determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for cumbersome calculations). if it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied. recording the number of televisions in 1875 households. choose the correct answer below. a. it is binomial or can be treated as binomial. b. it is not binomial because there are more than two possible outcomes. c. it is not binomial because the probability of success does not remain the same in all trials. d. it is not binomial because there are more than two possible outcomes and the trials are not independent.

Explanation:

Step1: Recall binomial distribution requirements

A binomial distribution has a fixed - number of independent trials, each trial has only two possible outcomes (success or failure), and the probability of success is constant for all trials.

Step2: Analyze the given situation

When recording the number of televisions in 1875 households, the number of televisions in a household can be 0, 1, 2, 3, and so on. There are more than two possible outcomes for each household (the number of TVs).

Answer:

B. It is not binomial because there are more than two possible outcomes