Chapter 10, Problem 37QAP

Assume that in earthquake-resistant design, the following relations take place: Y=ce, where Y is the ground motion intensity at the building site, X is the magnitude of an earthquake, and the constant c is related to the distance between the site and center of the earthquake. Assuming that X is exponentially distributed, fx (x)=ex with x 20 and >2, (a) Derive the PDF and CDF of Y, including the bounds, and sketch them. (b) Determine the median (i.e., 50%-fractile) and 90%-fractile (value of Y that has a probability of not being exceeded of 90%) of Y. (c) Determine the mean and variance of Y by using the PDF of Y derived under (a). (d) Determine the mean and variance of Y directly from the PDF of X.

Task 2: Download Download your personalized assignment files, answers2.json and floppy.img, into your Kali Linux Vm. Use wget as before. For example, you'd use "wget https://facsrv.cs.depaul.edu/zhuang28/courses/csec450/hw2/1111111/answers2.json" (replace 1111111 with your 7-digit DePaul ID) to download your answers2.json. Task 3: Creating a Sample Hard Drive Image book.img Add a new (virtual) hard drive of capacity 2GiB to your Kali Linux VM. Create a FAT filesystem on the hard drive using mkfs. fat. Be careful to use your new 2GiB drive! It would be a good idea to use 1sblk to verify the block device name before proceeding. Mount the new hard drive at a mount point of your choice. Find a book from Project Gutenberg by an author whose last name begins with the same letter as your last name (look under "Browsing Options" and then "Authors" A-Z). Download the plain text UTF-8 and ensure it is saved into your mounted drive (it should be saved within the mount point directory). For…

A mixture with 4% n-pentane, 40% n-hexane, 50% n-heptane, and 6% n-octane is to be distilled at 14.7 lb/in² (1 atm.) with 98% of the hexane and 1% of the heptane recovered in the distillate. If the liquid feed is a saturated liquid (i.e., q = 1). Calculate i.) The product compositions, ii.) The top and bottom temperature iii.) Minimum reflux ratio (Rm), iv.) Minimum theoretical plates and v.) Actual plates when the reflux ratio is 2Rm. Table 1: Component boiling point and molar mass Component Boiling point n-C5 97°F n-C6 156.2°F n-C7 209.1°F n-C8 258.1°F Molar mass 72.2 86.2 100.2 114.2 Hint: Since 1% of heptane is specified to be recovered in the distillate, 99% of heptane is to be recovered in the bottom.