Question: The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0 degrees celcius at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0 degrees celcius (denoted by negative numbers) and some give readings above 0 degrees celcius (denoted by positive numbers). Assume that the mean reading is 0 degrees celcius and the standard deviation of the readings is 1.00 degrees celcius. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

(a) Find Q3, the third quartile

(b) If 9% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the temperature that separates the rejected thermometers from the others.