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This course aims to investigate the nature of art by acquainting the student with its various disciplines, as well as significant works and the artists who have produced them. The class will also investigate the multi-cultural origins of the Theory of Art and trace its development throughout time. We will establish that art transcends culture, geography and time, ultimately finding itself as one language with many dialects. Finally, we will demonstrate the link between contemporary art and its indissoluble relationship to its global ancestry.
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ENME392 Fall 2013 Homework 12
Due Tuesday November 12th at the beginning of the class
Notes:
1. You may not look at solutions from previous years, since many of the problems assigned here have been used before. The honor code applies and you must include the honor code pledge (please see syllabus) on your homework.
2. Please show all your steps in the solution of the problems.
3. You may use Microsoft Excel, but keep in mind that you will need to be prepared to work problems like these by hand on an exam.
Total number of points: 100
Assignment:
1. (15 pts) Scrabble pieces have small letter tiles distributed as shown in the Table below. At the start of the game, you must pick 7 tiles at random. Determine the probabilities of the following scenarios of selected tiles. (Note: the square brackets indicate that the tiles can be obtained in any order, ? = any tile other than those indicated)
a. P( [POPQUIZ] ) b. P( POP [QUIZ] ) (First the letter P, then O, then P. Then [QUIZ] in any order.) c. P( [SQUE] EZY ) d. P( [SQU] EEZY ) e. P( [ZYX??] ?? ) (? = any tile other than X, Y and Z)
A: 9 tiles F: 2 tiles K: 1 tile P: 2 tiles U: 4 tiles Z: 1 tile B: 2 tiles G: 3 tiles L: 4 tiles Q: 1 tile V: 2 tiles C: 2 tiles H: 2 tiles M: 2 tiles R: 6 tiles W: 2 tiles D: 4 tiles I: 9 tiles N: 6 tiles S: 4 tiles X: 1 tile E: 12 tiles J: 1 tile O: 8 tiles T: 6 tiles Y: 2 tiles
2. (20 pts) An electronics company recently tested its large screen flat panel displays to find that in a sample of 100 TV’s, the number of stuck or dead pixels that were being produced was too large. Its testing revealed the following results:
# bad pixels: 0 1 2 3 4 5 6 7 # of screens: 46 37 10 3 1 1 1 1
As the lead engineer in charge of product quality, you must estimate how many TV’s ship with bad pixels. a) Determine the type of distribution that applies to this data.
b) Perform the goodness-of-fit test between the observed and expected data to quantitatively prove that the comparison is valid. c) To what level of significance can you estimate the number of screens being shipped with 1 bad pixel? 3. (25 pts) The following data represent the number of hours of sleep per night for engineering students. Determine whether the distribution is normal through a goodness-of-fit-test.
a) Determine the mean and variance. b) State H0 and H1. c) Plot the observed frequencies and the expected frequency from a normal distribution. d) Was a continuity correction required? Why or why not? e) Is the observed distribution normal? TO what level of significance does the agreement (or
disagreement) hold? Sleep hours Observed Frequency of Students 4 8 5 24 6 59 7 50 8 23 9 4 10 1
4. (10 pts) Chapter 11: 11.3 Also answer the following: d) Estimate the amount of chemical that will dissolve in 100 grams of water at 95 degrees C. 5. (10 pts) Chapter 11: 11.19 6. (10 pts) Chapter 12: 12.4 7. (10 pts) Chapter 13: 13.6
