Let a random experiment consist of tossing two fair six sided dice. Let x be the minimum number shown on the dice.

Determine the closed form PMF of x.

Hint: Creating a chart for all possible combinations of the two rolls may be helpful.

Quantitative backscattered electron imaging

1. How does this technique work and what does it measure?
2. What equipment is required for this technique?
3. How is the experiment/measurement performed?
4. What do the typical results look like? (you may want to include images here)  

3. How are the excess starting materials removed from the alum product?

4. What is the purpose of using isopropyl alcohol in this experiment?

5. During the washing step, how can you tell when your product has been sufficiently purified?

When we isolated plasmid in the second week of this experiment from XL1-blue, we added EDTA to the solution in order to chelate Mg²⁺ ions. Why?

Then when we performed primer extension in vitro, we added Mg²⁺ to the solution. Why the difference?

a. What happens to nuclei with nonzero magnetic moments when they are placed in a strong external magnetic field?

b. In a typical NMR experiment, a small amount of the compound to be analyzed is dissolved in a deuterated solvent. Explain what a deuterated solvent is and why it is used for NMR analyses.

1. IF a collected soil sample was classified as silty clay loamusing the Soil Analysis Chart (Figure 2 in the experiment description document), what properties would you expect in the sample? (You should mention properties such as the color, porosity, and potential nutrient availability of the soil).   

1) In this experiment, we purified cyclohexene by distillation. Could we have used recrystallization instead to purify? Explain.

2) At the end we stopped the distillation with some material left in the vial. Why is it considered unsafe to distill until dryness?

please help!

Galileo determined the relationship between the length of a pendulum and its period. Describe how you would design and execute an experiment to determine the relationship of a pendulum’s length and its period. How would you depict the results to make your analysis of the relationship clear?

Choose one of the following topics and write at least two substantial paragraphs that briefly explain both the topic itself and how the topic relates to our study of light.

The Double-slit experiment
The Photoelectric Effect
Emission spectra of gases composed of a single element