Sanjana Sriram Math3510 100 WeBWorK assignment number Homework2 is due : 06/13/2013 at 05:00am EDT. The CourseWebsite for the course contains the syllabus, grading policy and other information. The primary purpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making some kind of mistake. Usually you can attempt a problem 5 times before the due date. However, if you are having trouble figuring out your error, you should consult the book, or ask a fellow student, one of the TA’s, or your professor for help. Don’t spend a lot of time guessing – it’s not very efficient or effective. Give 4 or 5 significant digits for (floating point) numerical answers. For most problems when entering numerical answers, you can if you wish enter elementary expressions such as 2^3 instead of 23 = 8, sin(3 pi=2) instead of ??1, e^(ln(2)) instead of eln2 = 2, (2+tan(3)) (4??sin(5))^6??7=8 instead of 27620:3413, etc. Here’s the list of the functions which WeBWorK understands. You can use the Feedback button on each problem page to send e-mail to the professors. 1. (1 pt) If x is a binomial random variable, compute p(x) for each of the following cases: (a) n = 4;x = 1; p = 0:6 p(x) = (b) n = 5;x = 2; p = 0:1 p(x) = (c) n = 6;x = 6; p = 0:4 p(x) = (d) n = 6;x = 4; p = 0:3 p(x) = 2. (1 pt) The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best reate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 13 Southwest flights and observing whether they arrive on time. (a) Find the probability that at least 6 flights arrive on time. (b) Would it be unusual for Southwest to have 12 flights arrive on time? (Enter YES or NO) 3. (1 pt) If x is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases: (a) n = 5; p = 0:5 µ = s2 = s =(b) n = 3; p = 0:9 µ = s2 = s =(c)…