1. This is a partner test. I am assessing your understanding level of the material we have covered.
2. The test should be done with only the assistance of your notes, class slide decks or the posted Ch. 11-13 slide decks and your partner. You should not request or accept the assistance of a friend, family member or neighbor. Submitting answers and/or work done by or with the assistance of someone else is grounds for an Academic Integrity write-up.
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Question 1
1.
After reading the text above, select your response.
To be clear, selecting "No" does not free you of the consequences of your actions. Rather, it means I will disable your test until we can talk one-on-one so that you better understand before proceeding.
4 points
4
Question 2
2.
The famous Rose Bowl Parade features floats that are decorated with roses and other flowers from around the world. Based on past experience, one float decorator found that
10% of the bundles of roses delivered will not open in time for the parade,
20% of the bundles of roses delivered will have bugs on them and be unusable,
60% of the bundles of roses will turn out to be beautiful,
the rest of the bundles of roses delivered will bloom too early and then discolor
What percent of the bundles of roses will bloom too early and then discolor?
4 points
4
Question 3
3.
The famous Rose Bowl Parade features floats that are decorated with roses and other flowers from around the world. Based on past experience, one float decorator found that
10% of the bundles of roses delivered will not open in time for the parade,
20% of the bundles of roses delivered will have bugs on them and be unusable,
60% of the bundles of roses will turn out to be beautiful,
the rest of the bundles of roses delivered will bloom too early and then discolor
You will use a list of random numbers to conduct a simulation to estimate the number of bundles of roses the float decorator will need to purchase to have 10 good bundles of roses for decorating the float'.
How will you represent the bundles using numbers on a random number list?
Explain clearly - this is the component.
4 points
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Question 4
4.
Using the information in the previous question, what is the response variable?
4 points
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Question 5
5.
You how would you conduct a simulation to estimate the number of bundles of roses the float decorator will need to purchase to have 10 good bundles of roses for decorating the float?
Explain your method clearly for conducting 10 trials using the TI-84 calculator.
It needs to be clear enough so someone from an Algebra 2 class could conduct the simulation.
You DO NOT need to actually conduct the trials, just explain how you would do it 👌
4 points
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Question 6
6.
Imagine that you've conducted a simulation to estimate the number of bundles of roses the float decorator will need to purchase to have 10 good bundles of roses for decorating the float, you found that an average of 18 bundles were required.
Based on the summary above, give your conclusion.
Hint: what did the simulation suggest?
4 points
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Question 7
7.
A bike lock has four wheels as shown, the first three have the digits 0 through 9 and the last wheel has the letters A, B, C, D, and E.
Use the Fundamental Counting Principle to calculate:
How many combinations are possible?
Hint: ____ ____ ____ ____ = ?
4 points
4
Question 8
8.
A bike lock has four wheels as shown, the first three have the digits 0 through 9 and the last wheel has the letters A, B, C, D, and E.
Use the Fundamental Counting Principle to calculate:
How many combinations are possible that end with a vowel? (if you don't remember what a vowel is, ask your partner or google it)
Hint: ____ ____ ____ ____ = ?
4 points
4
Question 9
9.
The number of ways 10 students can be arranged to sit in the chairs for the class president, vice president, and secretary could be lined up on a stage.
Is this a permutation or combination?
Why?
4 points
4
Question 10
10.
The number of ways 10 students can be arranged to sit in the chairs for the class president, vice president, and secretary could be lined up on a stage.
To calculate the number of ways, how will you set it up in your calculator?
Hint: you will use either
Use the math keyboard to show your set up correctly.
4 points
4
Question 11
11.
Calculate the number of ways 10 students can be arranged to sit in the chairs for the class president, vice president, and secretary could be lined up on a stage.
Do the calculation and give your answer below:
4 points
4
Question 12
12.
The number of ways 4 cars could be chosen for an inspection from 8 cars waiting in a parking lot at a road check.
Is this a permutation or combination?
Why?
4 points
4
Question 13
13.
The number of ways 4 cars could be chosen for an inspection from 8 cars waiting at a road check.
To calculate the number of ways, how will you set it up in your calculator?
Hint: you will use either
Use the math keyboard to show your set up correctly.
4 points
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Question 14
14.
Now calculate the number of ways 4 cars could be chosen for an inspection from 8 cars waiting at a road check.
Do the calculation and give your answer below:
4 points
4
Question 15
15.
The number of different groups of 6 singers that can be chosen for an honors choir from the 12 singers who auditioned.
Is this a permutation or combination?
Why?
4 points
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Question 16
16.
The number of different groups of 6 singers that can be chosen for an honors choir from the 12 singers who auditioned.
To calculate the number of ways, how will you set it up in your calculator?
Hint: you will use either
Use the math keyboard to show your set up correctly.
4 points
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Question 17
17.
The number of different groups of 6 singers that can be chosen for an honors choir from the 12 singers who auditioned.
Do the calculation and give your answer below:
4 points
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Question 18
18.
The number of groups of the top 5 bands, listed worst to best, chosen to perform in a concert from 12 bands.
Is this a permutation or combination?
Why?
4 points
4
Question 19
19.
The number of groups of the top 5 bands, listed worst to best, chosen to perform in a concert from 12 bands.
To calculate the number of ways, how will you set it up in your calculator?
Hint: you will use either
Use the math keyboard to show your set up correctly.
4 points
4
Question 20
20.
The number of groups of the top 5 bands, listed worst to best, chosen to perform in a concert from 12 bands.
Do the calculation and give your answer below:
4 points
4
Question 21
21.
A committee of five members is to be randomly selected from a group of 45 seniors and 36 juniors.
How many different committees of three seniors and two juniors can be chosen?
4 points
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Question 22
22.
A committee of five members is to be randomly selected from a group of 45 seniors and 36 juniors.
How many different committees of five seniors or five juniors can be chosen?
4 points
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Question 23
23.
A medical book claims 40% of all children with eczema (chronic skin rashes) outgrow them. How is a statistic like this determined?
Use this question to demonstrate your understanding of the Law of Large Numbers.
Be sure to answer in context of the question.
6 points
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Question 24
24.
Your neighbor refuses to water his lawn during a streak of hot, dry days claiming you’re due to have a rainy day. Comment on his reasoning and give the law being used.
Select all that apply:
4 points
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Question 25
25.
A Chinese restaurant offers a Chow Mein dinner with a choice of:
one of three kinds of rolls (egg, spring, or shrimp),
one of two types of Chow Mein noodles (steamed or crispy),
and one of four choices of meat (chicken, pork, beef, or tofu).
How many different Chow Mein dinners are possible?
4 points
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Question 26
26.
Dave and Leah are playing a board game.
Dave is rolling two regular dice to determine how many spaces he can move. (he will add both sides that are facing up)
What is the sample space of the number of spaces Dave can move on his turn?
4 points
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Question 27
27.
Many clubs have to find creative ways to do fund raising at Alamo Heights High School.
One popular way to raise money is the selling of Bubble Teas.
During Bubble Tea sales at lunch, student leaders have determined that:
26% of AHHS students prefer jasmine milk tea,
23% prefer taro milk tea,
18% prefer strawberry milk tea,
21% prefer chocolate milk tea,
and the remainder prefer plain milk tea.
What percent of the students prefer plain milk tea?
4 points
4
Question 28
28.
Bubble Tea preferences:
26% of AHHS students prefer jasmine milk tea,
23% prefer taro milk tea,
18% prefer strawberry milk tea,
21% prefer chocolate milk tea,
and the remainder prefer plain milk tea.
If you randomly pick a student, what is the probability that they like taro or strawberry milk tea?
4 points
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Question 29
29.
What rule did you use in your calculations for the previous question?
What are you assuming is true by using this rule?
Select both answers:
4 points
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Question 30
30.
During Bubble Tea sales at lunch, student leaders have determined that:
26% of AHHS students prefer jasmine milk tea,
23% prefer taro milk tea,
18% prefer strawberry milk tea,
21% prefer chocolate milk tea,
and the remainder prefer plain milk tea.
What is the complement of liking chocolate milk tea?
4 points
4
Question 31
31.
During Bubble Tea sales at lunch, student leaders have determined that:
26% of AHHS students prefer jasmine milk tea,
23% prefer taro milk tea,
18% prefer strawberry milk tea,
21% prefer chocolate milk tea,
and the remainder prefer plain milk tea.
If you randomly pick 2 students, what is the probability that they both like jasmine milk tea?
Keep all decimal places.
4 points
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Question 32
32.
What rule did you use in your calculations for the previous question?
What are you assuming is true by using this rule?
Select both answers:
4 points
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Question 33
33.
Bubble Tea preferences:
26% of AHHS students prefer jasmine milk tea,
23% prefer taro milk tea,
18% prefer strawberry milk tea,
21% prefer chocolate milk tea,
and the remainder prefer plain milk tea.
If you randomly pick 3 students, what is the probability that the first likes taro milk tea and the second and third don’t like it?
Round to four decimal places.
4 points
4
Question 34
34.
Bubble Tea preferences:
26% of AHHS students prefer jasmine milk tea,
23% prefer taro milk tea,
18% prefer strawberry milk tea,
21% prefer chocolate milk tea,
and the remainder prefer plain milk tea.
If you randomly pick 4 students, what is the probability that they all do not like plain milk tea?
Round your decimal answer to four places past the decimal point.
4 points
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Question 35
35.
True or False:
The answer we found in #33 makes us believe having 4 students that do not prefer plain milk tea is a likely event.
4 points
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Question 36
36.
Bubble Tea preferences:
26% of AHHS students prefer jasmine milk tea,
23% prefer taro milk tea,
18% prefer strawberry milk tea,
21% prefer chocolate milk tea,
and the remainder prefer plain milk tea.
If you randomly pick 5 students, what is the probability that at least one student prefers chocolate milk tea?
Hint: 'at least one of the 5' makes you think about using the complement of 'none of the 5'
first find P(none of the 5 like chocolate milk tea)
then find P(at least one of the 5 likes chocolate milk tea)
Round your decimal answer to four places past the decimal point.
4 points
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Question 37
37.
Which one(s) of these probability assignments is/are legitimate?
Select all that are legitimate.
4 points
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Question 38
38.
A friend comments that the chances he will get married someday are so low that the probability of this happening is -25%.
Comment on his claim based on discussions in class about probability.
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Question 39
39.
BONUS
A survey showed that 42% of households in a town have an SUV and 38% a sedan.
Is it reasonable to use the Addition Rule to predict that 42% + 38% = 80% of the town’s households have an SUV or a sedan?
Why or why not? (what is the Statistical term you should think about?)
Explain clearly for full credit.
Make sure to use the terms Mutually Exclusive and Independent as appropriate.
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Question 40
40.
BONUS
A survey showed that 82% of households in a town have a garage and 38% a pool.
Is it reasonable to use the Multiplication Rule to predict that 0.82 x 0.38 = 0.3116, a 31.16% chance that
pne randomly chosen homes have a pool and a garage?
Why or why not? (what is the Statistical term you should think about?)
Explain clearly for full credit.
Make sure to use the terms Mutually exclusive and/or Independent as appropriate.