Measurement error that is continuous and uniformly distributed from -3 to +3 millivolts is added to the true voltage of a circuit. Then the measurement is rounded to the nearest mil- livolt so that it becomes discrete. Suppose that the true voltage is 250 millivolts.

(a) What is the probability mass function of the measured voltage?

(b) What is the mean and variance of the measured voltage?

(http://www.finri.dost.gov.ph/). Suppose that the total choles terol level is normally distributed.

(a) Determine the standard deviation of this distribution.

(b) What are the quartiles (the 25% and 75% values) of this distribution?

(c) What is the value of the cholesterol level that exceeds 90% of the population?

(d) An adult is at moderate risk if cholesterol level is more than one but less than two standard deviations above the mean. What percentage of the population is at moderate risk according to this criterion?

(e) An adult is thought to be at high risk if his cholesterol level is more than two standard deviations above the mean What percentage of the population is at high risk?

(f) An adult has low risk if cholesterol level is one standard deviation or more below the mean. What percentage of the population is at low risk?