Answer the following questions about the standard normal random variable Z. (Use 4 decimal places in your answers to parts a. through f.) a. What is P(-1.5 < Z < 0.69)? .6754 Correct: Your answer is correct. b. What is P(0 < Z < 1.47)? .4278 Correct: Your answer is correct. c. What is P(Z > -1.62)? .9525 Correct: Your answer is correct. d. What is P(Z < -2.57)? .0052 Correct: Your answer is correct. e. What is P(Z < 2.57)? .9955 Correct: Your answer is correct. f. What is P(-2.49 < Z < -1.22)?

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?