Assume that x is a random variable in a probability distribution with mean μ and standard deviation σ. find expressions for the mean and standard deviation if every value of x is modified by first being multiplied by 4, then increased by 5.

the first octant inside the cylinder x2 + y2 = 16 and below the plane z = 3. 2 Sketch the solid whose volume is given by the integral. ∫ π/2. 0. ∫ 2. 0. ∫ 9-r2. 0 r dz dr dθ, and evaluate the integral. 3 Use spherical coordinates to evaluate. ∫∫∫. E z dV, where E lies between the spheres x2+y2+z2 = 1 and x2 + y2 + z2 = 4 in ...