2. 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.

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2. 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.
Transcribed Image Text:2. 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.
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