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King Fahd University of Petroleum & Minerals Department of Mathematical Sciences Stat. 319, Quiz # 3 (semester 041) SECTION: INSTRUCTOR: MUSAWAR MALIK NAME: ID #: 1. If a 1-gallon can of paint covers on the average 513.3 square feet with a standard deviation of 31.5 square feet. a. What is the probability that the sample mean area covered by a sample of 40 of these 1-gallon cans will be anywhere from 510.0 to 520.0 square feet? b. What is the probability that the total area covered by a sample of 30 of these 1gallon cans will be less than 15400 square feet? c. If you purchase such a 1-gallon can from the market what is the probability that this can will cover an area more than 515 square feet?
