Question: The temperature recorded by a certain thermometer when placed in boiling water (true temperature 100C) is normally distributed with mean = 99.8C and standard

The temperature recorded by a certain thermometer when placed in boiling water (true temperature 100°C) is normally distributed with mean μ = 99.8°C and standard deviation 0.1°C.

a. What is the probability that the thermometer reading is greater than 100°C?

b. What is the probability that the thermometer reading is within ±0.05°C of the true temperature?

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