If x is a binomial random variable with n=10 and p=0.8, the standard deviation of x is _________?Select one:a.8.0.b.1.26.c.1.60.d.64.0.e.10.
Question
If x is a binomial random variable with n=10 and p=0.8, the standard deviation of x is _________?Select one:a.8.0.b.1.26.c.1.60.d.64.0.e.10.
Solution
The standard deviation of a binomial distribution is calculated using the formula:
σ = sqrt(n * p * (1 - p))
where: n = number of trials p = probability of success on each trial
In this case, n = 10 and p = 0.8. Substituting these values into the formula gives:
σ = sqrt(10 * 0.8 * (1 - 0.8)) σ = sqrt(10 * 0.8 * 0.2) σ = sqrt(1.6) σ = 1.26
So, the correct answer is b. 1.26.
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