Alicia is a busy university student who spends her days in university attending classes or studying. In addition to her three meals, she packs two snacks to take with her to school. However, she doesn't always consume both snacks. Let X be the number of snacks she consumes per day. The distribution of X is as follows: x 0 1 2 P(X=x) 0.05 0.35 0.60 Assume the number of snacks per day is independent from day to day. A.[5] Find the sampling distribution of the average of snacks for two randomly selected days. B.[6] Find the expected value and variance for both X and �%. C.[3] Suppose that 36 days were selected at random. What is the sampling distribution of the sample mean based on n = 36? Why? D.[3] Suppose that 36 days were selected at random. What is the probability that the average number of snacks that Alicia consumed is at most 2.5 snacks per day, during the selected 36 days.

1. Determine if the following describes a binomial experiment. If not, give a reason why not:

Five cards are randomly selected with replacement from a standard deck of playing cards, and the number of aces is recorded.

2. Determine if the following describes a binomial experiment. If not, give a reason why not:

Two cards are randomly selected without replacement from a standard deck of playing cards, and the number of kings (K) is recorded.

3. Determine if the following describes a binomial experiment. If not, give a reason why not:
Toss a 6-sided die until a "2" is observed.

4. Determine if a Poisson experiment is described, and select the best answer:

Suppose we knew that the average number of typos in our statistics text was 0.08 per page. The author knows that he is much more likely to make a typo on a page that has many mathematical symbols or formulas compared to pages that contain only plain text. He would like to know the probability that a randomly selected page that contains only text will contain no typos.

(c) Sur Power & Utility company is considering to replace the existing high power ammonia compressor with a new one. Maintenance records show the relative frequency of the compressor for 300 week period is given in Table Q5(c)-1.
(i) Use Monte Carlo Simulation, the probability distributions and the random numbers given in Table Q5(c)-2, to simulate the breakdowns which occur in the next 25 week lifespan.
Calculate the average number of breakdowns. Decide which blower will have the better reliability if the new blower is expected to have an average one(1) breakdown per week.

1. Scores on an endurance test for cardiac patients are normally distributed with a mean of 182 and a standard deviation of 24. What is the probability that a patient has a score above 170?

0.1915

0.3085

0.4505

0.6915

2.

The number of interviews received within a month by TSU business graduates is normally distributed with a mean of 8 interviews and a standard deviation of 2 interviews. 75% of all graduates receive more that how many interviews?

7.45

8.31

6.65

5.87

3. The number of interviews received within a month by TSU business graduates is normally distributed with a mean of 8 interviews and a standard deviation of 2 interviews. 15% of all graduates receive no more than how many interviews?

6.47

5.93

7.84

8.31

4. The number of interviews received within a month by TSU business graduates is normally distributed with a mean of 8 interviews and a standard deviation of 2 interviews. 45% of all graduates receive more than how many interviews?

Assuming a random variable X is distributed with a mean of the second digit of your student number, a variance of the last digit of your student number divided by 10 ( if the last digit is zero, use 9).

1. If you take 64 independent samples from X, what is the probability that the sample means is greater than 5?
2. The sample mean that you get from the previous sample is 3.5; please construct a 95% confidence interval based on the previous assumption.  
3. Interpret the confidence interval that you constructed.
4. Based on your sample results that the sample mean is 3.5, assuming you do not know the true populations mean, test the hypothesis that the population mean of X equals to the third digit of your student number. Do you reject or nor reject your hypothesis?
5. Do you think you might have made mistake in your conclusion in step D? Why?
6. If you increase your sample size to 100, would the conclusion in step D change? Why and why not?

To write a Generic Collection class for Stack<E>, using the generic Node<E> from Lab 5, and test it using a stack of Car, Integer, and String

Stack<E>

For Programming Lab 6, you are to write your own Generic Collection for a Stack that will use your Node<E> from Lab 5

UML for Stack<E>

Here is an additional description of what your stack should contain/how it should perform:

private fields:

- top which points to a Node<E>
- numElements an int

a no-arg Constructor:

- sets top to null
- numElements to 0

push(receives element of type E)

- adds a new node to top of stack
- adds 1 to numElements

pop( ) returns a value of type E

- removes node from top of stack
- decrements numElements by 1

- <<unless the stack is empty-throw EmptyStack exception (provided in Canvas)>>

size( ) returns an int

returns value of numElements

Stack<E> (Stack.java):

Question 1

Historically, the highest priority in environmental health was controlling:

Question 2

Which of the following is not as a consequence of global warming?

Question 3

Environmental public health issues are often related to human use of naturally occurring resources—renewable and nonrenewable.

Question 4

Fluoridation has not been among the most highly touted public health interventions.

Question 5

Courts have upheld the authority of governments to fluoridate water systems when challenged by community members who oppose fluoridation.