In any normal distribution, the probability of randomly selecting an observation that is less than the population mean is 68%. True or False?

Answer 1

False. 68% is the probability of randomly selecting an observation within 1 standard deviation from the mean

the probability of randomly selecting an observation less than the population mean is exactly 1/2 = 0.5= 50%

Answer 2

The 68% is for mean +/- one standard deviation. The mean is the half-way point of theprobability distribution by area, theerfore, the area from -inf to the mean is .5.