The four sides of a picture frame consist of two pieces selected from a population whose

Chapter 2, Problem 9

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

a. Find the mean perimeter.

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

Equation Transcription:

Text Transcription:

30 cm

0.1 cm

45 cm

0.3 cm

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