1 / 21

Review Problems And Solutions

Problem

Rita
Download Presentation

Review Problems And Solutions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

    1. Chapter 8 Review Problems And Solutions

    2. Problem #1 Given a group of 5 male students and 4 female students, count the different ways of choosing a president, vice president, and secretary if the president must be a male and the other two must be female. Assume that no one can hold more than one office.

    3. Solution to Problem #1 5 x 4 x 3 = 60 Pres. Vice Pres. Sec.

    4. Problem #2 Evaluate the following by showing all formula work. P(12, 3)

    5. Solution to Problem #2 P(12, 3) nPr = __n!__ (n - r)! 12P3 = __12!__ = 12! = 12·11·10·9! (12 - 3)! 9! 9! = 12·11·10 = 1320

    6. Problem #3 A bookshelf contains 10 novels: 6 mysteries and 4 romances. If three books are selected without looking, how many ways can you get exactly 2 mysteries?

    7. Solution to Problem #3 Want 2 mysteries and 1 romance novel. 6C2 ·4C1 = 60

    8. Problem #4 A class has 15 boys and 10 girls. In how many ways can a committee of five be selected if the committee can have at most two girls?

    9. Solution to Problem #4 Can have 0 girls or 1 girl or 2 girls. 10C0·15C5 + 10C1·15C4 + 10C2·15C3 = 37,128

    10. Problem #5 Find the probability of a bridge hand that has exactly 3 kings, exactly 2 queens, and exactly 1 ace. A bridge hand consists of 13 cards dealt from a standard deck of 52.

    11. Solution to Problem #5 You want 3 kings, 2 queens, 1 ace and 7 other cards in your hand. The sample space is 52C13. 4C3· 4C2· 4C1· 40C7 ˜ .003 52C13

    12. Problem #6 A family has six children. The probability of having a girl is .5. What is the probability of having 4 boys and 2 girls?

    13. Solution to Problem #6 n = 6 success: girl x = 2 p (girl) = .5 6C2 (.5)² (.5) ˜ .234

    14. Problem #7 Prepare a probability distribution for the experiment below. Three cards are drawn from a deck. The number of fives are counted.

    16. Problem #8 Three rats are inoculated against a disease. The number contracting the disease is noted and the experiment is repeated 50 times. Create a probability distribution and find the expected number of rats contracting the disease.

    17. Solution to Problem #8

    18. Problem #9 Find the expected number of boys in a family of three.

    19. Solution to Problem #9 This is a binomial probability problem, so the shortcut formula E(x) = np can be used. n = 3 p (boy) = .5 E(x) = 3(.5) = 1.5 You should expect 1.5 boys in a family of three.

    20. Problem #10 A car buyer has an option between an automatic or manual transmission in a certain make of car that he has decided to purchase. The car comes in one of 5 different colors, with or without a moonroof, and with one of three special options packages. How many options does the car buyer have when choosing the car he wants to buy?

    21. Solution to Problem #10 There are four different decisions to make: transmission, color, moonroof, and options package. 2 x 5 x 2 x 3 = 60

More Related