a) What is an exponential distribution (include an APA citation)? ___________________________

b) When would you use an exponential distribution? ________________________

c) What is a binomial distribution (include an APA citation)?_______________________

d) When would you use a binomial distribution? ___________________

3. Task

Run these commands in R, then use your own words to describe what the resulting numbers represent.  You can get some information about the functions by using the help commands in R (such as ?pbinom to get information about the pbinom() command in R):

a) pbinom(q=5, size=10, prob=1/6)

b)

n=10
p=.5
x=9
pbinom(x, n, p)

c) punif(5, min=1, max=10) - punif(4, min=1, max=10)

Please answer the following questions about the pictured circuit.

A circuit with two batteries, and two loops (three loops if you count the outer loop). The central section has resistor of 5-ohms. The left loop has a 10-V battery with its positive terminal facing up and 5-ohm resistor. The right loop has a 15_V battery with its positive terminal facing down and the third 5-ohm resistor. The current through the 15.0-V battery is I15 = 8 3 A = 2.667 A. What is the current (magnitude and direction) through the 10.0-V battery? (Please enter your numerical answer in decimal form; WebAssign will not accept a fraction.) I10 =__________ A, up/down

through the 10.0-V battery What is the current (magnitude and direction) through the central 5.00-Ω resistor in the circuit (the 5.00-Ω resistor that runs vertically)? (Please enter your numerical answer in decimal form; WebAssign will not accept a fraction.)

I5 = ___________A, up/down through the central 5.00-Ω resistor

choose an issue in globalization that relates to your personal and professional experiences. In your initial post, address the following:

Give some background information about your chosen issue.

Provide two or three recommendations for how to address the issue from the perspective of two of the general education lenses (humanities, history, social sciences, science) and your own major.

Explain the strengths of your recommendations and what a possible application would look like.

QUESTION 2

(a)       (i)        What is the p-value in a hypothesis test? Explain fully with the use of diagrams.

(ii)       An inspector examines output from a machine, which if properly adjusted produces nails with an average length of 40 mm and a standard deviation of 2 mm. The machine is deemed as out of adjustment if the nails produced on average are longer or shorter than 40 mm. A sample of 25 nails indicated an average of 41 mm. Using the critical value approach, test at the 5% level of significance if the process is out of adjustment. In your working, make sure you include all six steps of hypothesis testing and state any assumption you have to make.

(b)       Calculate by hand the covariance and the correlation of the following set of bi-variate data, by completing the following table. Interpret your results and assume they are sample data.

(c)        Explain fully (with calculations and graphics) how the following factors will influence the width of a confidence interval:

1. Sample size
2. Sample dispersion
3. Level of confidence

Problem 16-28 (LO. 1)

Red, White, and Blue are unrelated corporations engaged in real estate development. The three corporations formed a joint venture (treated as a partnership) to develop a tract of land.

a. Complete the statement below that outlines the tax year the joint venture must adopt under the following ownership interests. Assume that the venture does not have a natural business year.

The will apply in determining the partnership's tax year. Therefore, the partnership will use the same tax year as .

b.   The following data is provided regarding ownership interests.

Complete the tables below to determine the tax year the joint venture must adopt using the least aggregate deferral method.

Carry the product answers out to one decimal place. Enter the product as a decimal (for example, 5.6). If an amount is zero, enter 0.

Therefore, the fiscal year-end date for the partnership is: .

In Maladia, many people go without health insurance. The following Cross-Tabulation shows the population in different age groups in Maladia with and without health insurance. You should fill in the Totals to help you calculate the later answers, but the Totals will not be graded. Health Insurance Age Yes (H) No (HC) Totals 40 and under (Y) 800,000 200,000 Over 40 (YC) 1,000,000 250,000 Totals Use the Cross-Tabulation to complete the Joint Probability Table below. Use at least three decimal points in your answers. Enter your answers to questions 23 to 31 on Canvas using the values in this table. Health Insurance Age Yes (H) No (HC) Totals 40 and under (Y) 23. 24. 25. Over 40 (YC) 26. 27. 28. Totals 29. 30. 31. 32. What is the probability that a randomly selected person in Maladia has health insurance? P(H) = 33. Given that a person in Maladia is age 40 and under, what is the probability that the person has health insurance? (Hint: You need to use the conditional probability formula.) P(H|Y) = 34. Given that a person in Maladia has health insurance, what is the probability that the person is age 40 or under? (Hint: You need to use the conditional probability formula.) Give three decimal places in your answer. P(Y|H) = 35. Are age and health insurance independent variables in Maladia? 36. Explain why or why not using the probability rule for identifying independence. 37. What is your conclusion about the relationship between age and health insurance in Maladia given this data?

1. Consider a convex lens with a focal length of 5.50 cm. An object is located at 13.50 cm. The object is 6.00 cm tall. Draw the ray diagram to scale. Determine the image distance, the height of the image, the magnification and the characteristices of the image. Pay attention to the sign conventions and units.

2. White light shines through a diffraction grating with 7300 lines per cm. Make a table of diffraction angles for m = 1, 2, 3, ... versus the wavelengths of red and blue light. Stop when the angle is undefined. Note there may be more starts than finishes. Based on your table: How many complete diffraction patterns are there? What is the wavelength of the light diffracted at 90 degrees for the highest order incomplete diffraction pattern? Remember that the wavelength range of visible light is from 400 nm (blue) to 700 nm (red).

The idea of Paleolithic humans giving a tangible visible representation to intangible symbolic imagery they were “seeing” in their heads through altered states of consciousness (visions, dreams, hallucinations, trance). We have a better understanding of our brain’s visual mechanics in our own time but we as humans still routinely tap into altered states of consciousness, whether it’s through daydreaming, roleplaying (ex. Cosplay) meditation, dance, substance use, or escapism into virtual worlds such as video games, movies, music, art, social media.

-WHAT, IN YOUR OPINION, IS THE APPEAL OF AN ALTERED STATE OF CONSCIOUSNESS FOR US AS HUMANS?

-If you find yourself wanting to “unplug” from reality in an altered state, what feeling are you after and is there a visual component to it?

-How can we relate our own state of altered consciousness in modern times, back to the Paleolithic humans and their interest in recording visions they saw in their heads on the walls of caves?