Let Y be a random variable with a density function given by
f(y) = (3/2)y^2, −1≤y≤1,
0, elsewhere.
a) Find the density function of U1 = 3Y.
b) Find the density function of U2 = 3−Y.
c) Find the density function of U3 = Y^2.

When the ball has traveled a distance of

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?