Define the sample space. To get simpler expressions, you can prefer the set notations.
(a) (6 Points) What is the sample space of choosing a real number from interval [0, 1] which is larger than 0.5. Specify the properties of the sample space. Design two different random variables for this task.
(b) (6 Points) You play rock-paper-scissors with your friend. The one with total three wins or two subsequent wins will be the winner of the game. Give a probability tree of you being the winner. State the sample space by using probability tree diagram.
(You can use nested probability trees to make the representation easier. For example, you can generate a tree only for win-loss possibilities (without any information about rock-paper-scissors), one another tree for Win, including all possible cases with rock- paper-scissors, similarly one another tree for Loss, again including all possible cases with rock-paper-scissors)

Bower is a 3-year –old male English Pointer who presented with weakness and difficulty rising. He also recently developed a very red and sore area across the top of his nose. Bover had a slight fever, significant muscle atrophy, enlarged peripheral lymph nodes and an erythematous lesion on the dorsum of his nose.

He had an increased plasma protein concentration (8.0 g/dL), a high white blood cell count (18 X 10³ /ul), high numbers of neutrophils within joint fluids (no microorganisms cultured) consistent with immune-mediate inflammation. An antinuclear antibody (ANA) test was performed with a titer of 640 (positive is greater than 100). Antigen-antibody complexes (anti-C3 and anti-IgG) were also observed at the dermal-epidermal junctions of Bower’s nasal lesion.

What is the diagnosis? Explain your reasoning (4 pts)

What is the treatment (2 pts)

Describe the pathogenesis of this immunological disease (4 pts)

What do you gain from being able to "see" the data in a graphic presentation, that a table of the data may not readily provide? Discuss and explain why.

Would you rather work with data in its original state, or convert it to standardized data? Explain why.

1)Why would an economist argue that tuition is not the largest cost of attending a state university?

2) Explain what probably happened to the production possibility frontier during the Black Plague.

3)Explain why we should not expect to see zero percent unemployment.

1. What Halogen would have the lowest entropy in its pure elemental state at room temperature?
2. Consider an equilibrium reaction that has a K value less than 1, does the forward or reverse reaction have the higher activation energy. Explain your answer.

3. A saturated solution of sodium sulfate can have 0.0979 mol of the salt dissolved in 100 mL of water. What is the Ksp of sodium sulfate?

4. . The half-life of ²⁴¹Pu is 14.4 years. What percent of ²⁴¹Pu will be present 31 years later?

5. What is the boiling point of a 0.500 m aqueous solution of ammonium nitrate?

You are walking in the forest…

What information is being detected by you/your body?

Propose two external and two internal examples. How is the information being detected? I'm looking for detail here...

Stimulus, detector, transduction mechanism...

What physiological systems are involved –  and can you describe the system using the following hierarchy (with examples)?

1. System
2. Organ/s
3. Tissue/s
4. Cells/s

In regards to modern operating systems If you are asked to design a hotel check-in system that has three steps, what would you like to propose? If you are asked to detail your previous design so that it has five steps, how would you update it and why? If you are asked to propose a hotel check-in system without any limitation in steps, what would it be and why?

Name two different chemicals we have discussed or read about that we have added to the carbon cycle at levels that did not exist naturally.

a. Which functional group class does each chemical belong to? Explain.

b. How do the respective types of bonding and functional group classes of these molecules affect their reactivity?

c. What are the health and environmental effects of the two chemicals you choose to report on? Make sure to obtain your information from reliable sources such as your textbook and reference relevant sources.

d. Take one of the chemicals you choose to discuss and explain the properties of that chemical (such as water solubility, vapor pressure, etc.) that determines its migration in our environment. Search for the octanol/water solubility constant, provide that value and explain in a single sentence what this information tells us about that compound.

e. Name one green chemistry principle that could have the greatest potential to minimize the future impact of each of the two chemicals you discussed, explaining how each green chemistry principle can be applied specifically to each chemical.

The definition of a philosophy is having a personal and specific outlook and approach you can use to make decisions and take action. Your philosophy of nursing should include your beliefs and attitudes about nursing, being a nurse, your approach to caring for others. It can also include your attitudes about working in healthcare facilities, working as part of a team, or even how you feel about people in general.

Company A asked you to estimate the Value at Risk (VAR) for receivables from Vietnam and Singapore. Please describe in detail to Mr. AA what VAR measures and detail the process you would undertake to estimate VAR for Siam Cement. Please also include the potential drawbacks of the VAR method and what steps you would undertake to mitigate these drawbacks.