When can the Empirical Rule be used to identify unusual results in a binomial experiment? Why can the Empirical Rule be used to identify results in a binomial experiment? Choose the correct answer below. A. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from mu minus 2 np to mu plus 2 np. The Empirical Rule can be used to identify results in binomial experiments when np left parenthesis 1 minus p right parenthesis greater than or equals 10. B. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from mu minus 2 sigma to mu plus 2 sigma. The Empirical Rule can be used to identify results in binomial experiments when np left parenthesis 1 minus p right parenthesis greater than or equals 10. C. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from mu minus 2 sigma to mu plus 2 sigma. The Empirical Rule can be used to identify results in binomial experiments when np left parenthesis 1 minus p right parenthesis less than or equals 10. D. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from mu minus 2 sigma to mu plus 2 sigma. The Empirical Rule can always be used to identify results in binomial experiments.

Question

15-04-2019
Mathematics

contestada

When can the Empirical Rule be used to identify unusual results in a binomial experiment? Why can the Empirical Rule be used to identify results in a binomial experiment? Choose the correct answer below. A. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from mu minus 2 np to mu plus 2 np. The Empirical Rule can be used to identify results in binomial experiments when np left parenthesis 1 minus p right parenthesis greater than or equals 10. B. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from mu minus 2 sigma to mu plus 2 sigma. The Empirical Rule can be used to identify results in binomial experiments when np left parenthesis 1 minus p right parenthesis greater than or equals 10. C. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from mu minus 2 sigma to mu plus 2 sigma. The Empirical Rule can be used to identify results in binomial experiments when np left parenthesis 1 minus p right parenthesis less than or equals 10. D. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from mu minus 2 sigma to mu plus 2 sigma. The Empirical Rule can always be used to identify results in binomial experiments.

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MsEHolt MsEHolt · Answer 1 · 2019-04-21T01:51:59+02:00

Answer:

B. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from mu minus 2 sigma to mu plus 2 sigma. The Empirical Rule can be used to identify results in binomial experiments when np left parenthesis 1 minus p right parenthesis greater than or equals 10.

Step-by-step explanation:

The empirical rule states that in a bell shaped distribution, 68% of the data falls within 1 standard deviation of the mean; 95% of the data falls within 2 standard deviations of the mean; and 99.7% of the data falls within 3 standard deviations of the mean.

The mean is represented using μ and the standard deviation is representing using σ. This means that 95% of the data will fall from μ-2σ to μ+2σ.

The sample size is represented using n. The probability of success is represented as p, and the probability of failure would then be 1-p. In order to use the empirical rule, np(1-p) must be greater than or equal to 10.