Find P65, the 65-percentile.

Question

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P₆₅, the 65-percentile. This is the temperature reading separating the bottom 65% from the top 35%.

Answer 1

65th percentile is z-score corresponding to cumulative 0.65 probability = 0.385