# The four sides of a picture frame consist of two pieces selected from a population whose mean length is 30 cm with standard deviation 0.1 cm, and two pieces selected from a population whose mean length is 45 cm with

The four sides of a picture frame consist of two pieces selected from a population whose mean length is 30 cm with standard deviation 0.1 cm, and two pieces selected from a population whose mean length is 45 cm with standard deviation 0.3 cm.

a. Find the mean perimeter.

b. Assuming the four pieces are chosen independently, find the standard deviation of the perimeter.

a. Find the mean perimeter.

b. Assuming the four pieces are chosen independently, find the standard deviation of the perimeter.

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## Let X 1 and X 2 denote the lengths of the pieces chosen from the popul…View the full answer

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