Xis a uniform random variable with limits [-4,8]. given a condition that b={|x| ≤ 2} a. find the conditional pdf �: |< (�) and plot both the original and this conditional pdf. b. find the conditional expected value e[x|b]? c. what is the conditional variance, var[x|b].

Atoy company is considering a cube or sphere-shaped container for packaging a new product. the height of the cube would equal the diameter of the sphere . compare the volume to surface area ratios of the containers. which packaging will be more efficient? for a sphere, sa =4πr²

If lmn=xyz, which congruences are true by cpctc? check all that apply

What is [tex] {7}^{98 + \sqrt{4} } - 3 \times (64 \div 2 + 4 - 36) \times a = a + 36[/tex]?