Question

Nearly 100% of the observed occurrences of a random variable x that is normally distributed will fall within three standard deviations of the mean of the distribution of x. True False

Answer 1

True

Explanation:

Three standard deviation from the mean value of distribution of x comprises of 99.7 % of the values of a given set of data.

However, 68% of the data lies with in one standard deviation

while 95% percent of the data lies within two standard deviations

99.7% is approximately 100% of the observed occurrences.

Hence, given statement is true