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.

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

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3