MAT183-2002Spring - Mat 183 Spring 2002 Final Exam Name...

Info icon This preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Mat 183 Spring 2002 Final Exam Name: ( please print) Recitation Time: Recitation Instructor : Obterrieder Buzaianu Instructions: Show all the work you want graded on this exam. Unsupported answers may receive little or no credit. List the values put into your calculator and the specific program being used. Part I — Probability l. ( a) How many 5 letter words ( including nonsense words ) can be made {mm the letters L, A , T , S , K , E , and M if words must end with a vowel and letters cannot be repeated ? (b) E andFareevents with Pr(E)=0.3,Pr(F)=O.5andPr(E UF)=0.7. Are E and F independent ? 2. A class has 10 students , 4 of whom are seniors . An experiment consists of Randomly selecting students one at a time without replacement, until either three students have been chosen or a senior is chosen. ( 3) Draw a tree diagram to illustrate this experiment. Include probabilities along the branches. ' ( b ) What is the probability that the experiment ends by getting a senior on the second selection ? 3. An urn contains 6 red and 4 green balls. Three balls are drawn without replacement and the number of red balls is observed. ( a ) Make a probability distribution table for the number of red balls drawn. (b ) What is the expected value for the number of red balls drawn ? Part II — Statistics and Math of Finance 4. The weight of bowling balls produced by a factory is normally diStributed with a mean of 15.1 pounds andastandard deviation of .7 pounds. Let X be a random variable whose possible values are the weights of the balls produced by the factory . (a) Find Pr( 12.2 5X5 17.3) ( b) Find the weight which separates the bottom 6 % of the balls from the rest. 5. (a) If for 25 years you deposit $ 100 at the end of each month into an account paying 5.4 % annually , what will your final balance be ? ( b) Suppose you borrow $ 180,000 at 7 % interest compounded monthly to start a new business. Assume the loan is to be paid off in 15 years. ( l ) What are your monthly payments ? ( 2 ) What is the balance on your loan after 9 years ? 6. Consider the difference equation y” =-1 y,,_, +4, yo = 5. (a) Findtheline y=—]—b—. —a ( b) ls its graph constant, monotone , or oscillating ? Why ? ( c) Is its graph attracted to or repelled by the line ? (d) Make a table displaying the values y0 through )15 . ( Use TI-83 ) Part III - Linear Algebra 7. Using the rref command find all solutions to the following system of equations. x+2y—z=3 x—y+z=4 2x+4y~22=6 8. Pivot the following matrix about the indicated only. 3—125 1-462 (2)1—19 9. The economy of Narnia consists of two industries, oil and steel. The oil industry consumes $ .06 of oil and S .10 of steel to produce 3 l of oil. The steel industry consumes S .29 of oil and $ .15 of steel to produce 3 l of steel. ( a) What is the Input—Output matrix for this economy ? (b ) At what level should each industry produce in order to have $ 18 million of oil and $ 23 million of steel available for export ? ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern