Unit 5 Section 5-4 – Day 2. 5-4: The Binomial Distribution  The mean, variance, and standard deviation of a variable that has the binomial distribution.

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Presentation transcript:

Unit 5 Section 5-4 – Day 2

5-4: The Binomial Distribution  The mean, variance, and standard deviation of a variable that has the binomial distribution can be found using the following formulas:  Mean: μ= n * p  Variance: σ 2 = n * p * q  Standard deviation:σ = √variance

 Example 1: A coin is tossed 4 times. Find the mean, variance, and standard deviation of the number of heads that will be obtained. Section 5-4

 Example 2: A die is rolled 480 times. Find the mean, variance, and standard deviation of the number of 2’s that will be rolled. Section 5-4

 Example 3: The Statistical Bulletin reported that 2% of all American births result in twins. If a random sample of 8000 births is taken, find the mean, variance, and standard deviation of the number of births that would result in twins. Section 5-4

Homework:  Pg : ODD Section 5-4