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Unformatted text preview: that they will win at least one medal? 3. (25 points) The mass fraction of an impurity in a polymer, X , has the following probability density function: ( ) (2 0 1) for 0.1 < < 0.3 f X C X . X a. (10 points) What is the value of C ? b. (15 points) Determine the value of X for which there is a probability of 0.1 that the impurity is greater than this value. 4. (25 points) The weight of a bag of solid pellets filled by a machine is normally distributed with a standard deviation of 0.07 kg and a mean value which can be set by the machine operator. At what value should the mean be set if it is desired that only 2% of the bags weigh less than 12 kg? THE END...
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- Spring '06