A cola-dispensing machine is set to dispense an average of 2.02… A cola-dispensing machine is set to dispense an average of 2.02 liters into a container labeled 2 liters. Actual quantitiesdispensed vary and the amounts are normally distributed with a standard deviation of 0.015 liters. What is the probabilitya container will have less than 2 liters?The assembly time for a product is uniformly distributed between 6 to 10 minutes. The expected assembly tire (inminutes) isIn order to estimate the average time spent on the computer terminals per student at a local university, data wascollected from a sample of 81 business students over a one-week period. Assume the population standard deviation is 1.2hours. The standard error of the mean isWhat is the total area to the right if the T-score is -2.0961 and the sample size n = 12?The batteries produced in a manufacturing plant have a mean time to failure of 30 months, with a standarddeviation of two months (distribution being Normal). I select a simple random sample of 1600 batteries producedin the manufacturing plant. I test and record how long it takes for each battery to fail. I then compute theaverage of all the failure times. The probability that this average is less than 29.9 isThe heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. What is theprobability that a randomly selected man is taller than 70 inches?For a sample size of 40, what will be the t-score at point M if the area to the left of the point is 90%?MathStatistics and Probability STATS 101
