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Accel Math III
Unit #1: Data Analysis
Lesson #7: Calculating Mean, Variance, and
Standard Deviation for a Binomial
Distribution
EQ: How do you calculate mean, variance, and
standard deviation of a binomial distributionand how are these used to interpret the data?
Recall: Create arandom variable of interest is probability distribution number of heads where the occurring when tossing 4 coins. [HINT: space to complete this task.] You can, but you don’t have to create a sample
X P(X)
Find the expected value for this task. E(X) = __________________________
Now calculate ( n)(p) ______________
Formula: Mean of a Binomial Distribution μ = __________________ Find the variance for this task. σ^2 = ____________________________
Now calculate (n)(p)(q) ______________
Formula: Variance of a Binomial Distribution σ^2 = ____________________________
σ = _____________________
Ex 2. The Statistical Bulletin published by
Metropolitan Life Insurance Co. reported that2% of all American births result in twins. If a random sample of 8000 births is taken, find themean, variance, and standard deviation of the number of births that would result in twins.
μ = __________________ σ^2 = ________________ σ = _____________________
Ex 3.
Assignment: Variance, and Standard Deviation of Binomial^ Practice Worksheet: Calculating Mean, Distributions
Test #1 Unit 1
