18. The temperature at which a thermostat goes off is normally distributed with variance 2. If the...

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18. The temperature at which a thermostat goes off is normally distributed with variance σ2. If the thermostat is to be tested five times, find

(a) P{S2/σ2 ≤ 1.8}

(b) P{.85 ≤ S2/σ2 ≤ 1.15}

where S2 is the sample variance of the five data values.

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