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?
How many grams of boric acid, B(OH)3 should be used to make 2L of 0.05M solution? What kind of flask would be used to prepare this solution?
Assume that the process stops once there are no red balls in the urn. Model this process as a Markov chain. Give the transition probability matrix
The octapeptide AVGWRVKS was digested with the enzyme trypsin. Would ion exchange or molecular exclusion be most appropriate for the separation?
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?
Naturally occurring iodine has an atomic mass of 126.9045. A sample of 12.3849g gets contaminated with 1.00070g of a synthetic iodine with a mass of 128.9050. Find the apparent "atomic mass of the contaminated iodine".
A proton accelerates from rest in a uniform electric field of 620 N/C. At some later time, its speed is 1.4e6 m/s. (a) Find the magnitude of the acceleration of the proton.
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