Which of the following solutions has the highest osmotic pressure?

(a) 100 g of a polymer with MW=1,000 g/mol in 1 L of water. (b) 30 g of glucose (MW=180 g/mol) in 1 L of water. (c) 6 g of NaCl (MW=58 g/mol) in 1 L of water. (d) 3 g of Ethanol (MW=46 g/mol) in 1 L of water.

The solubility of magnesium carbonate is highest in a buffer solution with a pH of :

a)3.5 b)8.5 c)6.5 d)10.5

Please explain how you come to the conclusion.

1. If bandwidth is the difference between the highest and lowest signals of a transmission, then this means that a signal with the lowest frequency of 10KHz and an upper frequency of 5MHz, has a bandwidth of _____KHz.

2. If a data signal bit rate is 5kbps, then at Harmonic 1 we would have a value of ______ Hz, at Harmonic 3 we would have a value of _____Hz, and at Harmonic 5 wed would have a value of ____ Hz.

3. The critical angle of a light beam in a fiber optic cable, is a property of the substance, and its value differs from one substance to another. True or False?

Problem: Selecting Condiments A box of condiments has ten small packages, in which three are ketchup, three are mustard, and four are relish. A sample of three packages is randomly selected (without replacement) from the box.

1. Find the probability distribution for X, the number of mustard packages in the sample. 2. What are mean and variance of X?
3. What is the probability that at most one mustard package is selected?
4. What is the probability that at least one mustard package is selected?

2

5. What is the probability that X is within one standard deviation from its mean?

6. Now, suppose that you win $25 for each package of ketchup chosen and lose $15 otherwise. Let y denote the total winnings.

(a) Find the probability distribution for y.
(b) Verify that this distribution satisfies the axioms of a probability distribution.

(c) Calculate the expected loss.

CCA has stated in 2017 that 37.5 % of its students are first generation college students.
Suppose you sample 15 CCA students and ask if they are first generation college students or not, counting the number of first generation students.

a. Create a binomial probability distribution (table) for this situation.

(Report answers accurate to 4 decimal places.)

a. What is the probability that 11 students or less are first generation?


b. What is the probability that at least 7 students are first generation ?


c. What is the probability that 4 students will be first generation?


d. What is the probability that between 7-14 students are first generation (inclusing 7 and 14)?


e. What is the probability that 7 students are NOT first generation?

A personnel from the Traffic Engineering Center was assigned to observe a particular intersection. Historical data on the characteristics of vehicles passing thru this intersection revealed the following data:

                        Probability that a vehicle is a smoke belcher = 0.30

                        Probability that the vehicle does not have a license plate = 0.002

                        Probability that the vehicle passing is a truck = 0.10

                        Average number of vehicles passing per minute = 10

1. What is the probability that the tenth vehicle is the fourth truck that passed the intersection?

1. 0.0045    c. 0.0254   e. 0.2138
2. 0.1172    d. 0.0444

2. What is the probability that the first smoke belcher is the seventh vehicle that passed this intersection?

1. 0.5333   c. 0.3555   e. 0.3053
2. 0.0553   d. 0.0353

3. What is the probability that twelve vehicles will pass the intersection from 4:00 to 4:02 pm ?

1. 0.0054   c. 0.0176   e. 0.0267
2. 0.9524   d. 0.9733