Aggie An does not lie, cheat, or steal or tolerate those who do.
Homework 4 (Due date: February 28, 2005, Monday in class)
1. Make sure to write your name and section number on each page clearly. Do not write your SSN or ID. Staple everything together. Place it on the table before class starts. There is a penalty of 5 pt. if you do not staple them together. If you come to class after the lecture has started, do not walk through the classroom to turn your homework in. Wait until the class ends and give it to me before I leave the classroom. There is no partial credit for the numerical mistakes that you may make. Include 4 digits after the period to reduce the rounding error. You may want to compare your answers with your classmates. When you see Exercise 4.11 on the question,, it simply means chapter 4 exercise 11, your textbook. The set up is the same for all other questions.
(18 pt.) The hydrogenation of benzene to cyclohexane is promoted with finely divided porous nickel catalyst. The catalyst particles can be considered to be spheres of various sizes. All particles have masses between 10 and 70 Let g. X be the mass of a randomly chosen particle. The probability density function of X is given by
x 10 , f ( x) = 1800 0,
10 < x < 70 otherwise
(a) What proportion of particles have masses less than 50g? (b) Find the mean mass of the particles. (c) Find the standard deviation of the particle masses. (d) Find the cumulative distribution function of the particle masses. (e) Find the median of the particle masses. (f) Find the 90th percentile of the particle masses. 2. 3. 4. 5. 6. 7. (16 pt.) Exercise 4.11 (Exercise 4.11 and 4 13 as the parts (f)(g)(h) in the 5th edition) (10 pt.) Exercise 4.27 (9 pt.) Exercise 4.32 (6 pt.) Exercise 4.34 (Hint: com...