Math 210 Exam 1 - October 12, 2006, Exams of Mathematics

Download Math 210 Exam 1 - October 12, 2006 and more Exams Mathematics in PDF only on Docsity! Signature Printed Name Math 210 Exam 1 Jerry L. Kazdan October 12, 2006 12:00 — 1:20 Directions: Part A (short answer) has 7 problems (9 points each) while Part B has 3 problems (15 points each). To receive full credit your solution should be clear and correct. You have 1 hour 20 minutes. Closed book, no calculators, but you may use one 3 ×5 with notes on both sides. Please box your answers. Part A: Short Answer, 63 points (9 points each) A-1. Today is Thursday, Oct. 12, 2006. What day of the week is Oct. 13, 2009? A-2. To whom are you more closely related, your grandmother or your aunt’s son? Why? A-3. There is an outbreak of an unusual disease, expected to kill 600 people. Two public health programs have been proposed to combat it. • Program A has a 100 percent chance of saving 200 lives. • Program B had a one-third chance of saving 600 lives and a two-thirds prob- ability of saving no lives. What is the number of people expected to survive under Program A? Program B? Score A-1 A-2 A-3 A-4 A-5 A-6 A-7 B-1 B-2 B-3 Total Name (print) 2 A-4. In a Table of Life Expentancies, one fnds that in a population of 100,000 females, 90% can expect to live to age 60, while 60% can expect to live to age 80. Given that a woman is 60, what is the probability that she lives to age 80? A-5. If you roll a die 3 times, what is the probability of getting at least one of them showing a 6? A-6. Say you have tossed a (fair) coin 99 times and gotten 80 “heads” and 19 “tails”. What is the probability that on the next toss it will shown a “head”? A-7. In the following perl script, what number will appear as the printed Sum? #!/usr/bin/perl $sum=0; for ($k=1; $k <3; $k++) { $sum = $sum + 2*$k; } print "Sum = $sum\n";