The Precision Scientific Instruments company manufactures thermometers that are supposed to read 0 at the freezing point of water. Tests on these instruments revealed that at the freezing point of water some thermometers give readings above zero degrees Celsius while other thermometers give readings below zero degrees Celsius with an average of zero degrees Celsius and a standard deviation of the readings ion 0.9. Assume that the readings are normally distributed, i. Find the probability of observing one thermometer at random whose reading is between +. and +. at the freezing point of water.

ii. If a sample of 40 thermometers is picked from the stock purchased from this company, what proportion would read between −. and +..

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