2. A company produces wires with mean resistance 1 ohm and standard deviation 0.03 ohms. A wire is considered good, if its resistance falls between 0.97 and 1.03. An electrical engineer is building a circuit that needs 7 of these wires. The engineer purchases 8 wires; the extra one is to secure the success of the project. (i) What assumption can you make about the distribution of the re- sistance of a wire? (ii) What is the probability that the engineer will be able to build the circuit?

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2. A company produces wires with mean resistance 1 ohm and standard
deviation 0.03 ohms. A wire is considered good, if its resistance falls
between 0.97 and 1.03. An electrical engineer is building a circuit that
needs 7 of these wires. The engineer purchases 8 wires; the extra one
is to secure the success of the project.
(i) What assumption can you make about the distribution of the re-
sistance of a wire?
(ii) What is the probability that the engineer will be able to build the
circuit?
Transcribed Image Text:2. A company produces wires with mean resistance 1 ohm and standard deviation 0.03 ohms. A wire is considered good, if its resistance falls between 0.97 and 1.03. An electrical engineer is building a circuit that needs 7 of these wires. The engineer purchases 8 wires; the extra one is to secure the success of the project. (i) What assumption can you make about the distribution of the re- sistance of a wire? (ii) What is the probability that the engineer will be able to build the circuit?
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