Continuous distribution with probability density function
Let X be a continuous distribution with probability density function: f(x))=2/(x+3)^2 if x>= -2 and f(x)=0 otherwise
Let Y=X^2. Determine P(Y<=4)
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Terephthalic acid, used in plastics manufacture, contains only C, H, and O. Combustion of 19.81 mg of terephthalic acid sample produces 41.98 mg CO2 and 6.45 mg H2O. What is the empirical formula for terephthalic acid?
Let (X,Y) be jointly distributed random variables with joint density f(x,y)=1/9 for 0<=x<=3 and 0<=y<=x^2. Determine f(X=x given Y=2)
If you were monitring the titation by visivle spectroscopy, what wavelength would you select for the data analysis? Why? How would you determine the endpoint of the tittaion based on the the recored visible spectra rather than they eye.
How long is the rock in the air from the instant it is released until it hits the bottom of the hole ?
Let X be a continuous distribution with probability density function: f(x))=2/(x+3)^2 if x>= -2 and f(x)=0 otherwise. Let Y=X^2. Determine P(Y<=4)
Use payoff or regret tables for decision making. Prepare a report where in you should first explain the method you will use, solve using excel and finally discuss the results and your decision.
A 2.20 mol sample of helium gas initially at 300 K and 0.400 atm is compressed isothermally to 1.30 atm. Note that the helium behaves as an ideal gas. Find the energy transferred by helium.
The equation, A = a*b*c becomes nonlinear at high concentrations of the absorbing substance. Suppose you prepare a solution with a very high absorbance that is suspect in not following the linear relationship.
If a device is given a vibration of amplitude 3.2 cm, what should its frequency be in order to test for compliance with the 10g military specification?
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