[-/2.65 Points] DETAILS BBUNDERSTAT12 6.3.026.S. MY NOTES ASK YOUR TEAC approximately normally Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is y normally distributed with mean , = 41 and standard deviation o = 15. Find the following probabilities. (Round your answers to four decimal places.) LA USE SALT (a) x is less than 60 (b) x is greater than 16 c) x is between 16 and 60 d) x is more than 60 (This may indicate an infection, anemia, or another type of illness.) 13. [-/2.65 Points] DETAILS BBUNDERSTAT12 6.3.027.S. MY NOTES ASK YOUR TEACHER Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.7 millimeters (mm) and a standard deviation of 1.1 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.) LA USE SALT (a) the thickness is less than 3.0 mm (b) the thickness is more than 7.0 mm (c) the thickness is between 3.0 mm and 7.0 mm 14. [-/2.65 Points] DETAILS BBUNDERSTAT12 6.3.030.MI.S. MY NOTES ASK YOUR TEACHER prime de d manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 36 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 5 months, and the distribution of lifetimes is normal. In USE SALT (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months 15. [-/2.65 Points] DETAILS BBUNDERSTAT12 6.5.014.S. MY NOTES ASK YOUR TEACHER MacBook Air 80 885 $ S W# 4 6