M&M'S MILK CHOCOLATE: 24% cyan blue, 20% orange, 16% green, 14% bright yellow, 13% red, 13% brown.

Confidence Interval for Small n

Choose the color of M&M’s you will be working with for this project

Color:

Using the collected data below from a single fun-sized bag, provide the frequency and proportion of M&M’s in your color of choice.

Number of M&M's in your color:

Total number of M&M's:

            Proportion of M&M's in your color:

Construct a 95% confidence interval for the proportion of M&M’s one can expect to find in the color of your choice.

Check the requirements for constructing a confidence interval for the proportion are satisfied. Show your work.

The conditions might not be satisfied, depending on how many candies were in your bag. If the conditions are not met, what could you do?

Part 2: Confidence Interval for Larger n

Now, use the data collected below from a collection of fun-sized bags to provide the frequency and proportion of M&M’s in your original color of choice.

Number of M&M's in your color:

Total number of M&M's:

Proportion of M&M's in your color:

Construct a 95% confidence interval for the proportion of M&M’s one can expect to find in the color of your choice.

Write an interpretation of your confidence interval specific to your color.

Check the requirements for constructing a confidence interval for the proportion are satisfied. Show your work. (See the note in the blue box on page 426)

How are confidence intervals affected by sample size?

How does the margin of error for the confidence interval in Part 1 compare to the margin of error for your confidence interval in Part 2? (compute both and compare)

Does the confidence interval you constructed in Part 2 contain the claimed proportion given by Mars Inc?

Do you believe the claims given by Mars Inc?

1. State the Law of Diminishing Marginal Utility. Provide an example to support your answer.

2. What are the shortcomings of the Cardinal Theory of Utility?

3. List and explain the four properties of indifference curves.

4. Suppose you really, really like ice cream. You adore ice cream. Does the Law of Diminishing Marginal Utility apply to your ice cream consumption? Explain.

5. Do you tend to eat more at a fixed-price buffet or when ordering from an a la carte menu? Using the marginal decision rule, explain your behaviour.

Business analytics MBA- There are a number of learning scenarios or types of learning algorithms, that can be used depending on whether a target variable is available and how much labeled data can be used. These approaches include supervised, unsupervised, and semi-supervised learning. Explain the difference between each type of machine learning. Give an example of how each is used. Write your responses in detail with examples. Be sure to identify the source of your example in your posting. Your initial post should be of minimum 300 words.

A)In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and eight of them are drawn at random. If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order in which the numbers are drawn does not matter.

Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.

1. PP(win) =    

A single lottery ticket costs $2. Compute the Expected Value, to the state, if 10,000 lottery tickets are sold. Round your answer to the nearest dollar.

1. Answer: $

A single lottery ticket costs $2. Compute the Expected Value, to you, if you purchase 10,000 lottery tickets. Round your answer to the nearest dollar.

1. Answer: $

B)There are nine female board members and twenty-one male board members.

i.How many ways are there to make a committee of eight board members?

ii.How many ways are there to make a committee of eight board members if exactly three must be female?

iii.Determine the probability of selecting a committee of eight board members where exactly three of the members were female. Write your answer as a decimal, rounded to the nearest thousandth.

C)Suppose a jar contains 8 red marbles and 38 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Write your answer as a reduced fraction.

Answer:

Thank you :)

1. Assume I won 50 million dollars in a lottery that pays installments of 10 million dollars a year for five years or a lump sum of less than 50 million dollars. If I take the installments, my first installment would come the day I claimed my winnings at the state lottery office. If I take the lump sum, I would receive that payment the day I claimed my winnings at the state lottery office. Assume that the interest rate is 5% per year. Calculate what the lump sum should be so that it would exactly equal the stream future installments. You must show and explain your work to be given credit for this assignment.

2. What would your answer change be if the first installment in the question above did not come until one year after I claimed my winnings. You must show and explain your work to be given credit for this assignment.

IRC procedure for design pedestarin and traffic signal in about 200words

Design traffic signal by Webster method
For average flow of traffic are 400 and 250 pcu/hr. Saturation flows are 1250 and 1000 pcu/hr.. Calc all red for pedestrians in 12 sec

take data from morningstar and solve using Excel

estimate the weighted average cost of capital, listing the necessary inputs at the top of your sheet, calculate Boeing’s cost of equity and beta.

2. use the capital asset pricing model to estimate Boeing’s cost of equity, assuming 3.5% risk-free rate and 5.5% market risk premium. Link to a separate sheet with beta estimation.

3. where you estimated Boeing’s beta, using historical prices with WEEKLY frequency for the most recent 5 YEARS. Use the SLOPE function to estimate beta. Insert a scatter chart that shows the trendline from regressing returns of BA on the VFINX returns, displays the estimated equation, and the R-squared (check the boxes to display the equation and the R-squared).

4. In the context of your regression analysis shown on the chart, using the specific numbers that you estimated. Explain the meaning of the slope coefficient from the estimated equation and discuss what your estimate implies about the risk of holding BA stock. Explain the meaning of the R-squared from the estimated equation.

Finally, Is Boeing’s cost of equity smaller or larger than Boeing’s cost of debt? Is that what we would expect? Explain!

Consider a monetary intertemporal model we introduced in Part II of Money section. Consider a shock to the economy we studied in Chapter 13 as the likely driver of the business cycle, that is a persistent shock to the producitivity parameter of the economy.

a. Suppose that the central bank fully controls money supply and keeps it constant. What would be the impact of a persistent productivity shock on the price level in the economy? Would you expect the price level to be pro-, counter- or acyclical? Explain your answers, illustrate them with graphs if necessary.

b. Now, suppose that the central bank controls only the monetary base, but the money multiplier is procyclical. As a result, money supply aggregates like M1 and M2 expand whenever output expands. How would the price level behave over cycle in this situation? Would your answer from part a) change? Explain and illustrate your answers with graphs if necessary