CSU Fullerton classifies its students into four categories. Excellent, Average, At Risk, Failing 40 percent of its students are excellent; 50% are average and the rest are split evenly between At Risk and Failing. Enter all answers as probabilitites. a. A student is chosen at random. What is Pr(student is Failing)?
b. A student is chosen at random. Find Pr(Excellent or At Risk)?
c. A student is chosen at random. What is Pr(student is not Excellent)?
d. A student is chosen at random. What is the Pr(student is not Excellent or not Failing)?

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?