Some measurement on a population has a Normal distribution with expectation of 1000 and standard deviation of 150. We denote the difference between the 0.75-percentile and the 0.25-percentile the Interquartile Range. Identify a measurement value as outlier if it is larger than the 0.75-percentile plus 1.5 times the interquartile range or it is smaller than the the 0.25-percentile minus 1.5 times the interquartile range. The next 5 questions correspond to this information. The answer may be rounded up to 3 decimal places of the actual value: a. The 0.25-percentile of the measurement is
b. The 0.75-percentile of the measurement is
c. The interquartile range of the measurement is
d. The probability that a random measurement will be identified as outlier is