Let x, y and z be independent normal random variables with expectation −2,3,1 and variances 4, 9, 36 respectively.

a. find e(f(x, y,z)) where f(x, y,z)=2+yz−3x2y+6x2y2z2.
b. find p(2x+y ≥3z−y)

If 20% of a number is 35, what is 50% of that number?

00 points ! missy’s rotation maps point k(17, –12) to k’(12, 17). which describes the rotation? 270° counterclockwise rotation 90° counterclockwise rotation 90° clockwise rotation 180° rotation

Circle a has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. the diameter of circle b is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches. part a: using the formula for circumference, solve for the value of pi for each circle. (4 points) part b: use the formula for area and solve for the value of pi for each circle. (4 points)