X1 and X2 are two independent random variables that have Poisson distributions with mean lambda1 and lambda2, respectively.  

a) Use moment generating functions, derive and name the distribution of X = X1+X2

b) Derive and name the conditional distribution of X1 given that X = N where N is a fixed positive integer.

Please explain your answer in detail. Please don't copy other answers. Thank you; will thumb up!

What does your sense of control, influence and non-control do to the way you feel about life? What can you do when you are feeling defeated, apathetic, and burned out at work? How does controlling your arousal state help with your performance in the field? Can you use any of these tools to help you manage social challenges like public speaking, meeting with the chief, or other kinds of anxiety producing events that are not physically dangerous? How does your sense of mission and meaning help you push through challenges and fears?

A business school claims that students who complete a 3-month typing course can type a mean of more than 1200 words an hour. A random sample of 25 students who completed this course typed a mean of 1163 words an hour, with a sample standard deviation of 87 words. Assume that typing speeds for all students who complete this course have an approximately normal distribution. (a) Using the critical value method and a significance level of 1%, is there evidence to support the business school’s claim? (b) What would a Type II error be in this case?

A peony plant with red petals was crossed with another plant having streaky petals. A geneticist states that 70% of the offspring resulting from this cross will have red flowers. To test this, 80 seeds from this cross were collected and germinated and 46 plants had red petals. (a) Is there sufficient evidence at the 0.02 significance level to indicate the proportion of the hybrid plants with red petals differs from 70%? Use the P-value method in your test. (b) What would a Type I error be in this case?

Please answer in detail the discussions questions below.

1. Why do optical fibers have a minimum bend radius? What might happen if this minimum bend radius is exceeded?

2. Find or create your own application for the color dependence of the index of refraction. Your example need not be fully developed, but it should (1) address some task, and (2) be clear about the application of the color dependence to the task.

Membrane Protein Census

(a) Table 1 of Mitra et al. (2004) reports the mass ratio of proteins and phospholipids in the membranes of various cells and organelles. Use the asserted 2.0mg of protein for every 1.0mg of phospholipid in the E. coli membrane to compute the areal density of membrane proteins and their mean spacing. Make a corresponding estimate for the membrane of the endoplasmic reticulum using the fact that the mass ratio in this case is 2.6. Explain all of you assumptions in making the estimate.

(b) Dupuy and Engelman (2008) report that the area fraction associated with membrane proteins in the red blood cell membrane is roughly 23%, while the lipids themselves take up roughly 77% of the membrane area. Use these numbers to estimate the number of membrane proteins in the red blood cell membrane and their mean spacing. Explain all theassumptions you make in constructing the estimate.

Explain, in great detail, the protocol of DNA isolation. In your explanation, mention which steps and/or materials are important in the process, and explain the significance of these steps. Following your explanation, describe where, in the protocol, can contamination occur and cause DNA isolation to fail.

QUESTION TWO

You have decided to invest in the financial services sector in Kenya. You are aware of the ranging debates on interest rate caps, exchange, and inflationary rates and how these affect the sector’s performance. You are not yet sure whether to establish a bank, a microfinance or deposit taking Sacco with a few friends.

REQUIRED

1. How would you go about gathering data? Give examples
2. What kind of data would you require and where would you find the data (Explain kind of data and source
3. Assuming you decide to establish a deposit taking Sacco, with the help of examples, discuss in detail the sector’s current debates and trends which will help you in your new venture

The capstone project is designed to be completed in sections. This is part three of the assignment.

Review your logic model, change proposal, and initiation plan. Describe in detail how the overall change plan will be evaluated, and the resources needed to evaluate the project. Discuss the evaluation process in relationship to the projected outcomes.

Create a dissemination plan. Explain how the outcome of the project will be disseminated externally (outside the setting to health care community) and internally (unit or hospital where the change process has taken place). A detailed plan answers the questions who, what, where, how, and when.

I am writing about Medication errors in emergency departments. The goal is to reduce medication errors in emergency using barcode technology

In a parrot species, feather colour is determined by incompletely dominant sex-linked alleles: Red (ZR) and white (ZW). A pink male is bred many times with a red female. They produce the following offspring: Red male: 79 Pink male: 65 Red female: 82 White female: 46

1 What is the expected phenotype ratio of red males : pink males : red females : white females?

2 How often would this cross result in male offspring that are white?

3 What is your Chi-square value ?

4.Is the deviation between observed and expected phenotype frequencies significantly different from each another?

5 .are the genotypes in Hardy Weinberg Equilibrium

1. A recent national survey stated 70% of college students said they get less than the recommended amount of sleep every night. A statistician decides to test this claim against the suspicion that the percentage is too high. The statistician randomly sampled 1500 college students from the population of college students and determines that 1020 college students stated they don’t get the recommended amount of sleep. Perform a hypothesis test to answer the question: Do the sample results support the statistician’s claim at

α = 5 %?

1. State the hypotheses (in words & symbols):

H0:

Ha:

2. Determine the model to test H0

Can one use a normal distribution for the Sampling Distribution model to perform this test? Please explain. If not, then what distribution could you use?

b) Using the appropriate notation, state the MEAN & STD ERROR of the sampling distribution: Mean:

STD Error:

3. Determine the Decision Rule:

State the decision rule:

4. Analyze the sample data: Using the appropriate notation, state the sample result of the test, p-value and the test statistic.

sample result (use appropriate notation) is:

p-value ( to 4 decimal places ) is:

test statistic (use appropriate notation) is:   

Hypothesis Testing Model:

5. State the Conclusion:

Do you agree with the statistician suspicion at α = 5%? YOU MUST EXPLAIN YOUR ANSWER OTHERWISE: No credit will be given.