f n = 10 and p = 0.70, then the standard deviation of the binomial distribution isQuestion 8Select one:a.14.29.b.7.00.c.1.45.d.0.07.
Question
If and , then the standard deviation of the binomial distribution is:
Select one:
- a. 14.29
- b. 7.00
- c. 1.45
- d. 0.07.
Solution
The standard deviation of a binomial distribution can be calculated using the formula:
σ = sqrt(n * p * (1 - p))
where: n = number of trials p = probability of success on each trial
Given in the question: n = 10 p = 0.70
Substituting these values into the formula:
σ = sqrt(10 * 0.70 * (1 - 0.70)) σ = sqrt(10 * 0.70 * 0.30) σ = sqrt(2.1) σ = 1.45
So, the correct answer is c. 1.45.
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