Provide an appropriate response. Round to the nearest hundredth.
-The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.6561, 0.2916, 0.0486, 0.0036, and 0.0001, respectively. Find the standard deviation for the probability distribution.

A) $\sigma = 0.60$
B) $\sigma = 0.36$
C) $\sigma = 0.72$
D) $\sigma = 0.53$

Question

Provide an appropriate response. Round to the nearest hundredth.
-The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.6561, 0.2916, 0.0486, 0.0036, and 0.0001, respectively. Find the standard deviation for the probability distribution.

A) $\sigma = 0.60$
B) $\sigma = 0.36$
C) $\sigma = 0.72$
D) $\sigma = 0.53$

Quizplus · Accepted Answer

The standard deviation is the square root of the variance. The variance is the sum of the squared deviations from the mean. The mean is the expected value. The expected value is the sum of the products of the probabilities and the values. The values are the number of defective computers. The probabilities are the probabilities of getting that number of defective computers. The variance is 0.36. The standard deviation is the square root of 0.36, which is 0.60.

Provide an Appropriate Response σ=0.60\sigma = 0.60σ=0.60 B) σ=0.36\sigma = 0.36σ=0.36 C) σ=0.72\sigma = 0.72σ=0.72

Provide an Appropriate Response $\sigma = 0.60$ B) $\sigma = 0.36$ C) $\sigma = 0.72$