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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.

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 class=

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MathPhys

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

The standard deviation of the random value x is 0.739.

What is standard deviation?

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

Now, for the given set of values,

First, find the mean value, which is expressed as-

μ = ∑ x P(x)

From the table,we have-

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

μ = 0.871

Next, lets 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, the standard deviation is given as:

σ = √0.622

σ = 0.789

More about standard deviation :

https://brainly.com/question/13372731

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