Question

Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a​ self-driving vehicle. ​Find the standard deviation of the random variable x.

Answer 1

Answer:

0.789

Step-by-step explanation:

First, find the expected value (the mean).

μ = ∑ x P(x)

μ = (0) (0.359) + (1) (0.436) + (2) (0.180) + (3) (0.025)

μ = 0.871

Next, find the variance.

σ² = ∑(x − μ)² P(x)

σ² = (0 − 0.871)² (0.359) + (1 − 0.871)² (0.436) + (2 − 0.871)² (0.180) + (3 − 0.871)² (0.025)

σ² = 0.622

Finally, find the standard deviation:

σ = √0.622

σ = 0.789