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Given the probability density Ary 0 Given the probability density 4my O < x < 1, O < y < 1 O elsewhere calculate the
Given the probability density Ary 0
Given the probability density 4my O < x < 1, O < y < 1 O elsewhere calculate the marginal density with respect to X and Y The amount of electricity X required to run a film metallization process has a mean of 10 and a standard deviation of 3 kilowatt-hours. There is also a flat service fee of $5 associated with running the process. If the cost of electricity is $20 per kilowatt hour, find the mean, variance, and standard deviation of the daily cost of electricity. A roll to roll manufacturing process has four stations: a printing station which takes a mean time of 3 minutes and a standard deviation of 1.0 minute, a coating station which takes a mean time of 2 minutes and a standard deviation of 0.6 minutes, a rinsing station which takes a mean time of 2 minutes and a standard deviation of 0.5 minutes, and an oven (heating station) which takes a mean time of 6 minutes with a standard deviation of 0.4 minutes. From there the roll is taking to be cut and converted into the final product. To make a particular product, the roll is rewound through the rinsing and heating station twice (meaning it is rinsed and dried a total of three times). What is the mean and variance of the time it takes to produce a finished roll before it goes to the die cutter?
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