Mean and variance of the random variable
Determine the mean and variance of the random variable.
f(x) = (64 / 21)( 1/4)x , x = 1,2,3
Round your answers to three decimal places (e.g. 98.765).
The mean is =
The variance is =
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(a) If you compress the air trapped in the piston by pushing on the syringe's plunger with an average force of 2.0 N for a distance of 0.55 cm, how much mechanical work do you do on the gas? (b) What is the pressure exerted on the syringe?
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A river of width 32 m flows in a straight line (the x direction) with a speed of 0.25 m/s. A boat is rowed such that it travels directly across the river (along y). If the boat takes exactly 2.5 minutes to cross the river, what is the speed of the
A metal sphere weighing 18.48g is added to 20.00mL of water in a graduated cylinder. If the density of the metal is 4.50g/mL, what will be the new level of water in the graduated cylinder?
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