Refer to Example 7 concerning scanners. The maximum attenuation has a normal distribution with mean \(10.1 \mathrm{~dB}\) and standard deviation \(2.7 \mathrm{~dB}\).

(a) What proportion of the products has maximum attenuation less than \(6 \mathrm{~dB}\) ?

(b) What proportion of the products has maximum attenuation between \(6 \mathrm{~dB}\) and \(14 \mathrm{~dB}\) ?

Data From Example 7

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EXAMPLE 7 The number of ways to assemble chips in a controller An electronic controlling mechanism requires 5 distinct, but interchangeable, mem- ory chips. In how many ways can this mechanism be assembled (a) by placing the 5 chips in the 5 positions within the controller? (b) by placing 3 chips in the odd numbered positions within the controller?