Continuous random variable with density function
Let X be a continuous random variable with density function f(x)= 6x(1-x), 0
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A cup of coffee cools down by transferring heat to the surroundings at a rate of 0.1kW (kilowatt). If the mass of coffeeis 0.2 kg and coffee can be modeled as water, determine the rate of change of temperature of coffee.
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Let X be a continuous random variable with density function f(x)= 6x(1-x), 0<x<1. Find E(X), Var(X)
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A 32 mL sample of asolution of MgF2 was diluted with water to 70 mL. A 25mL sample of the dilute solution was found to contain 0.09 moles ofF-.
A customer service center receives phone call at a rate of 10 per hour. Let C be the number of phone calls received in a 4 hour shift. Let T be the inter-arrival time (in hours) of between 1st and 2nd calls.
Calculate the percent by mass of the solute ethanol in a solution produced by combining 2940 mL ofC2H5OH to of the solvent tetrahydrofuran. 4060 mL
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