Final answer:
To find the 15th percentile of the temperature readings, we can use the standard normal distribution table and the formula for converting z-scores to temperature readings.
Step-by-step explanation:
To find the 15th percentile, we need to find the temperature reading that separates the bottom 15% from the top 85% of the readings. Since the readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C, we can use the standard normal distribution table to find the corresponding z-score. The 15th percentile corresponds to a z-score of approximately -1.04.
To convert the z-score to a temperature reading, we can use the formula z = (x - μ) / σ, where z is the z-score, x is the temperature reading, μ is the mean, and σ is the standard deviation. Rearranging the formula, we have x = μ + z * σ. Plugging in the values, we get x = 0 + (-1.04) * 1.00 = -1.04. Therefore, the temperature reading at the 15th percentile is -1.04°C.