he “Monty Hall Problem”
A famous controversy about a probability question erupted over an item in the “Ask Marilyn” column in Parade Magazine, written by Marilyn Vos Savant. The problem her column addressed was loosely based on a TV game show called Let’s Make a Deal, hosted by Monty Hall, and hence is known as the Monty Hall Problem. Here’s the question:
Suppose that you’re on a game show and you’re given the choice of three doors: Behind one door is a car, behind the other two doors are goats. You pick a door, say No. 1, and the host who knows what’s behind the doors opens another door, say No. 3, which has a goat. He then says do you want to change your pick to door No. 2? Is it to your advantage to switch your choice?
Marilyn answered that the probability of winning was higher if the contestant switched. This answer generated many letters, including a few from mathematicians, claiming that she was wrong. Marilyn answered with the following logic. When you first pick door No. 1, the chance that you picked the one with the car is P(door 1) = 1/3. The probability that you chose a door with a goat is 2/3. When the host opens door No. 3 to reveal a goat, this does not change the 1/3 probability that you picked the right door (Door 1) in the first place. As only one other door remains (Door 2), the probability that it contains the car is 1 – P(Door 1) = 1 – 1/3 = 2/3. Therefore, it pays to switch doors. Visit a few of the many websites devoted to the Monty Hall Problem to gain some understanding of its subtleties. Do you agree with Marilyn’s logic? If so, try to explain it in your own words. If not, present an alternative approach.
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Answer questions on document attached watching these videos
Category: Mathematics homework help
he “Monty Hall Problem” A famous controversy about a probability question erupt
he “Monty Hall Problem”
A famous controversy about a probability question erupted over an item in the “Ask Marilyn” column in Parade Magazine, written by Marilyn Vos Savant. The problem her column addressed was loosely based on a TV game show called Let’s Make a Deal, hosted by Monty Hall, and hence is known as the Monty Hall Problem. Here’s the question:
Suppose that you’re on a game show and you’re given the choice of three doors: Behind one door is a car, behind the other two doors are goats. You pick a door, say No. 1, and the host who knows what’s behind the doors opens another door, say No. 3, which has a goat. He then says do you want to change your pick to door No. 2? Is it to your advantage to switch your choice?
Marilyn answered that the probability of winning was higher if the contestant switched. This answer generated many letters, including a few from mathematicians, claiming that she was wrong. Marilyn answered with the following logic. When you first pick door No. 1, the chance that you picked the one with the car is P(door 1) = 1/3. The probability that you chose a door with a goat is 2/3. When the host opens door No. 3 to reveal a goat, this does not change the 1/3 probability that you picked the right door (Door 1) in the first place. As only one other door remains (Door 2), the probability that it contains the car is 1 – P(Door 1) = 1 – 1/3 = 2/3. Therefore, it pays to switch doors. Visit a few of the many websites devoted to the Monty Hall Problem to gain some understanding of its subtleties. Do you agree with Marilyn’s logic? If so, try to explain it in your own words. If not, present an alternative approach.
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Answer questions on document attached watching these videos
Please view to attached docs for more instructions. Please use attached templat
Please view to attached docs for more instructions. Please use attached template.
Imagine you are working in the marketing department of a company. Your supervisor assumes that if the
company spends more on digital advertisements it would lead to an increase in sales. In fact, she hopes
that doubling the budget for digital advertising will result in daily sales that are greater than $10,000. She
wants to solve the problem at hand and asks you to investigate. To verify this assumption, the marketing
department will raise the digital advertisement budget for a six-month period, then analyze the collected
data at the end of that period.
You collect monthly data from the past six months and then randomly sample 30 days. The results of your
sample and your calculations are shown in the Excel file provided in the assignment instructions.
Write a two to three (2–3) page report using the provided template in which you:
1. Construct a box-and-whisker plot for the daily sales.
2. Copy the sample mean, median, and standard deviation for the daily sales.
3. Copy the 95% Confidence Interval for the daily sales.
4. Conduct a hypothesis test to verify if the claim that the mean daily sales is greater than $10,000
is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test.
5. Provide the following discussion based on the conclusion of your test:
a. If you conclude that the mean daily sales is greater than $10,000, provide three (3)
possible causes. Share marketing strategies that will support this upward trend the
company is experiencing.
Or
b. If you conclude that the claim of mean daily sales is not greater than $10,000 is not
supported or justified, provide a detailed explanation to your supervisor of how the
company can increase daily sales. Include marketing strategies that will support an
increase in daily sales. Include your speculation on the reason(s) behind the claim.
Instead of lecture questions you will again be making a concept map covering sec
Instead of lecture questions you will again be making a concept map covering sections 5.1-5.3 below. Remember to include prepositions and a paragraph explaining your thought process in creating your map. Dont forget prepositions.
Part 1 The purpose of this activity is to find a model for linear data and to ma
Part 1
The purpose of this activity is to find a model for linear data and to make predictions.
Everyone will be working with the same two pieces of data but you will be asking different people and therefore will have slightly different results. Your goal is to find the relationship between height (in inches) and shoe size.
1. Ask 10 different people how tall they are (in inches) and their shoe size. Record your responses in a table here. (+5)
2. Put your paired data into statcrunch and run the linear regression. What is the equation of your line of best fit? (+2)
3. Using your equation from statcrunch, predict the shoe size of someone who is 60 inches tall. (+2)
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Part 2
Answer the questions in the document attached watching these videos
Refer to these videos to answer questions on worksheet attached https://www.yout
Refer to these videos to answer questions on worksheet attached
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The purpose of this activity is two fold. Can you create a graph from data you collect and can you explain what is misleading about a graph.
Part 1:
1. Create a question that you can ask 10 people. Write the question you created and the results. (+2)
2. Create a graph of your choosing which represents the results. Briefly explain why you chose this type of graph. (+2)
Part 2:
3. Do a google search for a misleading graph. Add either the image or the weblink for this graph (+2)
4. Briefly explain what is misleading about this graph and what you would do to fix it (+2)
5. After you have completed your post, find a classmates post and comment on their graph construction. Do you agree with their choice of graph? Is there anything they could do to improve their graph? (+2)
There are 40 fish in a pond. 12 of thefish are breamOf the fish that are not bre
There are 40 fish in a pond. 12 of thefish are breamOf the fish that are not bream, HI aretench and the rest are carpWhat is the ratio of bream to tenchto carp in the pond?Give your answer in its simplest form.
Does the table represent a function? Explain. What do you know to be true about
Does the table represent a function? Explain.
What do you know to be true about the information presented in the table? How do you know?
What do you know to be false about the information presented in the table? How do you know?
Write in complete sentences, and your post must contain a minimum of 300 words.
Does the table represent a function? Explain. What do you know to be true about
Does the table represent a function? Explain.
What do you know to be true about the information presented in the table? How do you know?
What do you know to be false about the information presented in the table? How do you know?
Write in complete sentences, and your post must contain a minimum of 300 words.
Does the table represent a function? Explain. What do you know to be true about
Does the table represent a function? Explain.
What do you know to be true about the information presented in the table? How do you know?
What do you know to be false about the information presented in the table? How do you know?
Write in complete sentences, and your post must contain a minimum of 300 words.