TMTH
TMTH3360 Ch 4 HW.xls

TMTH3360 Ch 4 HW.xls - 4.1 Tossing a Die An experiment...

Info icon This preview shows pages 1–4. Sign up to view the full content.

e5dc5ac0dcee436cb9f1f8fe9011fbe473301fdb.xls TMTH3360 - Applied Technical Statistics Page 1 of 11 4.1 Tossing a Die An experiment involves tossing a single die. These are some events: A: Observe a 2 B: Observe an even number C: Observe a number greater than 2 D: Observe both A and B E: Observe A or B or both F: Observe both A and C a. List the simple events in the sample space. b. List the simple events in each of the events A through F. c. What probabilities should you assign to the simple events? d. Solutions a. {1, 2, 3, 4, 5, 6} b. A: {2} B: {2, 4, 6} C: {3, 4, 5, 6} D: {2} E: {2, 4, 6} F: {} c. 1/6 d. P(A) 1/ 6 P(B) 1/ 2 P(C) 2/ 3 P(D) 1/ 6 P(E) 1/ 2 P(F) 0 4.4 Free Throws Simple Event Probability 1 Hit Hit 0.49 2 Hit Miss ? 3 Miss Hit 0.21 4 Miss Miss 0.09 a. Find the probability that the player will hit on the first throw and miss on the second. b. Find the probability that the player will hit on at least one of the two free throws. Calculate the probabilities of the six events A through F by adding the appropriate simple- event probabilities. A particular basketball player hits 70% of her free throws. When she tosses a pair of free throws, the four possible simple events and three of their associated probabilities are as given in the table: Outcome of First Free Throw Outcome of Second Free Throw
Image of page 1

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

e5dc5ac0dcee436cb9f1f8fe9011fbe473301fdb.xls TMTH3360 - Applied Technical Statistics Page 2 of 11 Solutions a. 1-.49-.21-.09= 0.21 b. 1-.09= 0.91
Image of page 2
e5dc5ac0dcee436cb9f1f8fe9011fbe473301fdb.xls TMTH3360 - Applied Technical Statistics Page 3 of 11 4.5 Four Coins a. b. What is the probability that the selection will contain the half-dollar? c. What is the probability that the total amount drawn will equal $0.60 or more? Solutions a.
Image of page 3

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

Image of page 4
This is the end of the preview. Sign up to access the rest of the document.
  • Spring '12
  • Dr.PatrickDaniels
  • Probability theory, Applied Technical Statistics

{[ 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