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The minimum usual volume of a binomial distribution is 89.3. True/False?

a) True
b) False

User Nayoung
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1 Answer

4 votes

Final answer:

The statement regarding the 'minimum usual volume' of a binomial distribution being 89.3 is false. Binomial distributions are characterized by their mean and standard deviation, computed from the number of trials and the probability of success, without the concept of 'minimum usual volume.'

So option (B) is the correct answer.

Step-by-step explanation:

The statement 'The minimum usual volume of a binomial distribution is 89.3' is False. The usual concept in the context of distributions refers to values within a certain number of standard deviations from the mean; however, a binomial distribution does not have a minimum 'usual volume' as such. Rather, a binomial distribution is characterized by its parameters, n (number of trials) and p (probability of success on each trial), and the distribution's mean and standard deviation are calculated using these parameters. The mean (μ) is given by np, and the standard deviation (σ) is √npq, where q is the probability of failure (1-p). These calculations lead to understanding the distribution of possible outcomes but do not specify a 'minimum usual volume.'

User Huonderv
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