Aset of final examinations grades in an introductory statistics course is normally distributed, with a mean of 75 and a standard deviation of 7. complete parts (a) through (d). a.) what is the probability that a student scored below 87 on this exam? b.) what is the probability that a student scored between 68 and 90? c.) the probability is 25% that a student taking the test scores higher than what grade? d.) if the professor grades on a curve (for example, the professor could give a

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)