“Protein A” is phosphorylated at one amino acid by a kinase, “protein B”, and dephosphorylated by a phosphatase, “protein C”.

You have purified all three of these proteins and want to determine the structural changes that occur when protein A is phosphorylated or dephosphorylated. Explain in detail how you would go about designing and conducting this investigation.

Out of the numerous methods to evaluate a small company, i need to illustrate three through excel (please explain in detail how this would work or how it should be laid out if possible thank you!) ..can upload an excel file to follow if that works (sorry about the error from earlier post)

use r programming, details on the codes please.

Consider an urn with 10 balls inside, 7 of which are red and 3 of which are green. Select 3 balls successively from the urn. Let A = {1 st ball is red}, B = {2 nd ball is red}, and C = {3 rd ball is red}. Then P(all 3 balls are red) = P(A ∩ B ∩ C)

     a) Calculate the Probability with R? (1)

     b) Also, what is the probability of observing red, then green, then red? (1)

Let us roll a 4-sided die three times. a)Let us define the random variable U = X1 − X2 + X3. What is the probability that U > 6. (1) b) Also, if A = X1+X2+X3, What is the probability of A > 9.(1)

3. Randomized Controlled Trials are a type of medical experiment, where the eligible participants are randomly assigned (allocated) to one of the two (or more) branches of the study. A randomized controlled trial is considered the gold standard of clinical trials. In these studies, randomization helps to control for confounding factors, and evenly distribute prognostic factors across groups. This is somewhat like a loaded dice experiment.

            Let’s create an “unfair” dice that has a 0.35 probability of resulting in a 6, and a    probability of 0.13 for each of the other outcome.

Hint: Use the sample command.

a) Simulate a sample of 10 trials of throwing the dice. (1)

b) How many 6’s do you get count using R. (1)

Write a function cancerservival where the probability of cure, recurrence, metastasis and death are (0.3, 0.3, 0.25 and 0.15 respectively). (2)
a) Use the function to simulate the results of 100 cancer occurrences. (1)

b) Report the number of patients cured. (1)

Name a story by Robert Frost you relate to and why?

In two strong paragraphs, explain what it is about the tone and/or imagery of the story that speaks to you and why. Use some text examples to support your response.

Visualize your weekly grocery list. Choose a “healthy” item that you consume regularly: you may select a food specifically manufactured as part of the diet industry (e.g. a protein bar or vitamin supplement) or simply an item that you continue to buy to combat a perceived deficiency of some nutrient (e.g. carrots). When you have an item in mind, answer the following questions.

A die has been "loaded" so that the probability of rolling any even number is

and the probability of rolling any odd number is

. (Assume the die is six-sided with each side numbered one through six.)

(a)

Find the following probabilities. Enter your probabilities as fractions.

What is the probability of rolling a 2, given that an even number is rolled?

(b)

Find the following probabilities. Enter your probabilities as fractions.

What is the probability of rolling a 3, given that a number divisible by 3 is rolled?

A bag contains 5 red balls and 7 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.)

(a) What is the probability that the second ball is white, given that the first ball is red?


(b) What is the probability that the second ball is red, given that the first ball is white?


(c) Answer part (a) if the first ball is replaced before the second is drawn.

A red ball and 5 white balls are in a box. If two balls are drawn, without replacement, what is the probability of getting each of the following? (Enter your probabilities as fractions.)

(a) a red ball on the first draw and a white ball on the second


(b) 2 white balls


(c) 2 red balls

State whether the question is True or False and explain your answer. For example, if the statement is True, explain why it is true. If the statement is False, explain why it is false and correct the statement. A diagram or equation may be helpful to explain your answer.

The transitional dynamics of the Solow model suggests that the economy will gradually go back to the same steady state after a major earthquake.

An urn contains 6 red balls and 4 green balls. Three balls are chosen randomly from the urn, without replacement.

(a) What is the probability that all three balls are red? (Round your answer to four decimal places.)

(b) Suppose that you win $20 for each red ball drawn and you lose $10 for each green ball drawn. Compute the expected value of your winnings.

According to the presentation by Hans Rosling and Gap Minder, why should we "not panic" about the world's population? In other words, what are the current trends in global population (how many, who, where, etc) and what should we anticipated for the future? According to the presentation, why is this potentially better than most people envision? In your discussion include enough specific detail (examples, statistics, etc) to highlight your understanding of the data on population trends and demography.

Evaluate one the states in the Fed-Fast cycle and how each tissue (liver, muscle, adipose tissue, brain, red blood cells and kidneys) is affected by this state