Independent random variables with uniform distribution
Suppose X1,X2,....,Xn are independent random variables with uniform distribution on (0,1). Define X=max(X1,X2,...,Xn)
Find the distribution function of X
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Would the correlation between x and y in the table above be positive or negative? Find the missing value of y in the table.
An object is in simple harmonic motion. Find an equation for the motion given that the period is π/4 and at time t = 0, y = 1, and y' = 8. What is the equation of motion?
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Its key advantage is high internal validity; its disadvantage is that randomization is often ethically or practically impossible.
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