Mean, Variance, and Standard Deviation for the Binomial Distribution

1
Section 4-4

• 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
• s2 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 - 2s maximum
usual value µ 2s
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?