A factory inspects bolts one at a time. Let X=1X = 1X=1 if a randomly chosen bolt is defective and X=0X = 0X=0 otherwise, so that
X∼Bernoulli(p),p=0.25X \sim \text{Bernoulli}(p), \qquad p = 0.25X∼Bernoulli(p),p=0.25
What is the standard deviation σ\sigmaσ of XXX?
Select all that apply.
σ≈0.5000\sigma \approx 0.5000σ≈0.5000
σ≈0.1875\sigma \approx 0.1875σ≈0.1875
σ≈0.2500\sigma \approx 0.2500σ≈0.2500
σ≈0.4330\sigma \approx 0.4330σ≈0.4330