At a picnic, two teams of kids played a soccer game, after which one player's name was randomly chosen to win a prize. There are 22 kids in total. The winning team in the soccer game consists of 8 girls and 3 boys and the losing team consists of 4 girls and 7 boys. Given that the prize winner is a boy, what is the probability that he also comes from the winning soccer team?

Hint: Let E and F be events in a sample space S with P(F) > 0. The conditional probability of E given F is P(E|F) = P(E∩F) / P(F) = n(E∩F) / n(F)

Three couples and two individuals (eight total people) have been invited to an investment seminar and have agreed to attend. Suppose the probability that any particular couple or individual arrives late is .4 (a couple will travel together in the same vehicle, so either both people will be on time or else both people will arrive late). Assume that different couples and individuals are on time or late independently of one another. Calculate the probability that 6 or more people arrive to the seminar on time. Hint: consider the disjoint cases: exactly 6 are on time, exactly 7 are on time, exactly 8 are on time, then think of all the combinations of couples and individuals that yield that amount.

Sales (in thousands) of the new Thorton Model 506 convection oven over the eight-week period since its introduction have been as follows: Week Sales 1 18.6 2 21.4 3 25.2 4 22.4 5 24.6 6 19.2 7 21.7 8 23.8 a. Which exponential smoothing model provides better forecasts, one using a = .6 or a = .2? Compare them using mean squared error. b. Using the two forecast models in part (a), what are the forecasts for week 9?

Hi, I am using excel for this question I need to see all the work and steps and formulas.

You've estimated the following cash flows (in $) for two mutually exclusive projects:

The required return for both projects is 8%.

1. What is the IRR for project A?

2. What is the IRR for project B?

3. Which project seems better according to the IRR method?

4. What is the NPV for project A?

5. What is the NPV for project B?

6. Which project seems better according to the NPV method?

7. Compare the answers to parts 3 and 6. If both projects are mutually exclusive, which one should you accept?

Immune System

1.Explain the difference between innate and adaptive mechanisms of immunity.

2.What are the three lines of defense in your body?

3.What is inflammation? What kind of immunity is it?

4.Identify the organs of the lymphatic system.

5.Describe the difference between an antigen and an antibody.

6.Explain the different reaction that will occur between two people’s immune systems upon exposure to a pathogen where one individual has been vaccinated for the pathogen and the other individual has never been exposed to the pathogen.

7.What are B-cells, phagocytes and macrophages?

8.Distinguish between Helper T-cells and Killer T-cells.

Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 8 men was 34 minutes per day. The standard deviation was 19 minutes per day. The mean listening time for a sample of 10 women was also 34 minutes, but the standard deviation of the sample was 7 minutes. Use a two-tailed test and at 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? (Round your answer to 3 decimal places.) The test statistic is . Decision: H0:σ21=σ22.

Using Python

def specialAverage():
  
Print the number of 0s and then return the average of either the positive
values in the list (if the optional parameter has value 1) or the negative
values in the list (if the optional parameter has value 0).
  
Arguments:
a list of numbers : the list can contain any numeric values
an integer : this integer is an optional parameter and only takes value
0 or 1, and defaults to 1 if the user does not specify the value
when calling the function.
  
Return:
a number : the computed average of either positive or negative numbers
rounded to 1 decimal place
  
>>> specialAverage([1,2,3,4,-1,-2,-3,-4],0)
-2.5
and also prints "There are 0 zeros in the list"

1. Elly's Hotdog Emporium is famous for its chilidogs. Elly's latest sales indicate that 40% of customers order their chilidogs with hot peppers. Suppose 10 customers who have ordered their chilidogs are selected at random.

Required:

a. How many customers will ask for hot peppers in the expectation?    

b. What is the probability that exactly 7 customers will ask for hot peppers?

c. What is the probability that between two and six people inclusive want hot peppers?   

d. If Elly wants to repeat this experiment tomorrow, what is the probability that at least two customers will want hot peppers. Assume that the expected number of customers who want hot pepper is unchanged.                           

Year   Percentage
2000   28
2001   32
2002   36
2003   40
2004   44
2005   51
2006   53
2007   57
2008   60
2009   66

Forecast the percentage of tax returns that will be electronically filed for 2010 using exponential smoothing with trend adjustment.

alpha= 0.3 and beta= 0.4. Then calculate MAD.

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Quarter   Price
Q1 2017   186.3
Q2 2017   190.9
Q3 2017   195.2
Q4 2017   195.2
Q1 2018   198.7
Q2 2018   201.2

Forecast the price index for Q3 2018 using a​ three-period simple moving average. Then calculate MAD.

The standard error of the estimate for the above bivariate data is:

Question 3 options: