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Section 5-4

Learn how to calculate the mean and standard deviation for the binomial distribution using practical examples. Determine if a given result is unusual.

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Section 5-4

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  1. Section 5-4 Mean, Variance, and Standard Deviation for the Binomial Distribution

  2. MEAN, VARIANCE, AND STANDARD DEVIATION • The mean or expected value for the binomial distribution is • μ = n · p • The variance for the binomial distribution is • σ2 = n·p·q = n·p·(1 − p) • The standard deviation for the binomial distribution is

  3. MINIMUM AND MAXIMUMUSUAL VALUES Recall: minimum usual value = μ − 2σ maximum usual value = μ + 2σ

  4. EXAMPLES • According to Nielson Media Research, 75% of all United States households have cable television. In a simple random sample of 300 households, determine the mean and standard deviation of households that will have cable television. • Suppose in a simple random sample of 300 households 244 have cable television. Is this result unusual?

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