Respuesta :
The correct option regarding the standard deviation of the sum of variables X and Y is given by:
s = 0.58; companies A and B can expect the total weight of packages to vary by approximately 0.58 ounces from the mean.
What is the standard deviation of the sum of two variables?
The standard deviation is given by the square root of the sum of the variances each variable.
The variances of each variable is the standard deviation squared of each variable. In this problem, the standard deviations are:
[tex]\sigma_X = 0.3, \sigma_Y = 0.5[/tex]
Hence, the standard deviation of S = X + Y is given by:
[tex]s = \sqrt{\sigma_X^2 + \sigma_Y^2} = \sqrt{0.3^2 + 0.5^2} = 0.58[/tex]
Hence the correct option is:
s = 0.58; companies A and B can expect the total weight of packages to vary by approximately 0.58 ounces from the mean.
More can be learned about the standard deviation when two variables are added at https://brainly.com/question/25639778
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