Unit 8 Day 16 Ch 11-13 Partner Test

Last updated over 4 years ago
40 questions
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.
0

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

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
  • 20% 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,
  • 40% 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

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
  • 20% 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,
  • 40% 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 12 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

Using the information in the previous question, what is the response variable?

6

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
  • 20% 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,
  • 40% 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
How would you conduct a simulation to estimate the number of bundles of roses the float decorator will need to purchase to have 12 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

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
  • 20% 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,
  • 40% 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
Imagine you've conducted a simulation to estimate the number of bundles of roses the float decorator will need to purchase to have 12 good bundles of roses for decorating the float. The summary was an average of 15 bundles of roses.
Give your conclusion below.
Hint: what did your simulation suggest?

4

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, E and F.

Use the Fundamental Counting Principle to calculate:
How many combinations are possible?

Hint: ____ ____ ____ ____ = ?

4

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, E and F.

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

The number of ways 12 students can be arranged to sit in the chairs for the class president, vice president, secretary and treasurer could be lined up on a stage.
Is this a permutation or combination?
Why?

4

The number of ways 12 students can be arranged to sit in the chairs for the class president, vice president, secretary and treasurer 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

Calculate the number of ways 12 students can be arranged to sit in the chairs for the class president, vice president, secretary and treasurer could be lined up on a stage.

Do the calculation and give your answer below:

4

The number of ways 4 cars could be chosen for an inspection from 10 cars waiting at a road check.

Is this a permutation or combination?
Why?

4

The number of ways 4 cars could be chosen for an inspection from 10 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

Now calculate the number of ways 4 cars could be chosen for an inspection from 10 cars waiting at a road check.

Do the calculation and give your answer below:

4

The number of different groups of 6 singers that can be chosen for an honors choir from the 14 singers who auditioned.

Is this a permutation or combination?
Why?

4

The number of different groups of 6 singers that can be chosen for an honors choir from the 14 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

The number of different groups of 6 singers that can be chosen for an honors choir from the 14 singers who auditioned.

Do the calculation and give your answer below:

4

The number of groups of the top 5 bands, listed worst to best, chosen to perform in a concert from 10 bands.

Is this a permutation or combination?
Why?

4

The number of groups of the top 5 bands, listed worst to best, chosen to perform in a concert from 10 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

The number of groups of the top 5 bands, listed worst to best, chosen to perform in a concert from 10 bands.

Do the calculation and give your answer below:

4

A committee of five members is to be randomly selected from a group of 42 seniors and 38 juniors.
How many different committees of two seniors and three juniors can be chosen?

4

A committee of five members is to be randomly selected from a group of 42 seniors and 38 juniors.
How many different committees of five seniors or five juniors can be chosen?

4

A medical book claims 35% of all children with allergies will 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

Your neighbor continues to water his lawn during a streak of hot, dry days, claiming that the weather is independent of what has already passed and the likelihood of rain each day remains the same.

Comment on his reasoning and give the law being used.
Select all that apply:

4

A Chinese restaurant offers a Chow Mein dinner with a choice of:
one of three kinds of rolls (egg, spring, or shrimp),
one of three types of Chow Mein noodles (steamed, cripsy or chopped),
and one of four choices of meat (chicken, pork, beef, or tofu).

How many different Chow Mein dinners are possible?

4

Dave and Leah are playing a board game.
Dave is rolling one regular dice to determine how many spaces he can move.

What is the sample space of the number of spaces Dave can move on his turn?

4

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:
24% of AHHS students prefer jasmine milk tea,
28% prefer taro milk tea,
14% prefer strawberry milk tea,
26% prefer chocolate milk tea,
and the remainder prefer plain milk tea.

What percent of the students prefer plain milk tea?

4

Bubble Tea preferences:
24% of AHHS students prefer jasmine milk tea,
28% prefer taro milk tea,
14% prefer strawberry milk tea,
26% 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

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

Bubble Tea preferences:
24% of AHHS students prefer jasmine milk tea,
28% prefer taro milk tea,
14% prefer strawberry milk tea,
26% prefer chocolate milk tea,
and the remainder prefer plain milk tea.

What is the complement of liking strawberry milk tea?

4

Bubble Tea preferences:
24% of AHHS students prefer jasmine milk tea,
28% prefer taro milk tea,
14% prefer strawberry milk tea,
26% 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

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

Bubble Tea preferences:
24% of AHHS students prefer jasmine milk tea,
28% prefer taro milk tea,
14% prefer strawberry milk tea,
26% 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

Bubble Tea preferences:
24% of AHHS students prefer jasmine milk tea,
28% prefer taro milk tea,
14% prefer strawberry milk tea,
26% 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

True or False:
The answer we found in #34 makes us believe having 4 students that do not prefer plain milk tea is an unlikely event.

4

Bubble Tea preferences:
24% of AHHS students prefer jasmine milk tea,
28% prefer taro milk tea,
14% prefer strawberry milk tea,
26% 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'

Round your decimal answer to four places past the decimal point.

4

Which one(s) of these probability assignments is/are legitimate?

4

A friend comments that the chances he will get married someday are so high that the probability of this happening is 125%.
Comment on his claim based on discussions in class about probability.

4

BONUS:
A survey showed that 68% of households in a town have a garage and 27% a pool.
Is it reasonable to use the Multiplication Rule to predict that 0.68 x 0.27 = 0.1836, a 18.36% chance that
one randomly chosen home has a garage and a pool?
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.

0

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?
Explain clearly for full credit.
Make sure to use the terms mutually exclusive and/or Independent as appropriate.