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Unit 8 Day 1 & 2 Simulation Practice

Last updated almost 5 years ago

13 questions

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Question 1

1.

A small airline runs commuter flights with a plane that holds 10 people. Each ticket holder has a 10% chance of not showing up, so the airline sells 12 tickets for each flight.

What is the single component to be simulated?
Hint: What were were sold for each flight?

10 ticket holders

12 ticket holders

One ticket holder

Question 2

2.

Question 3

3.

A small airline runs commuter flights with a plane that holds 10 people.
Each ticket holder has a 10% chance of not showing up (1 out of 10), so the airline sells 12 tickets for each flight.

How will you simulate trials?
Hint: how will you use a random number table to simulate a trial of 12 passengers/ticket holders?

Circle 10 double digits and record how many kept their reservation and showed up for the flight.

Circle 12 single digits & record how many kept their reservation and showed up for the flight.

Circle 10 digits & record how many kept their reservation and showed up for the flight.

Question 4

4.

A small airline runs commuter flights with a plane that holds 10 people.
Each ticket holder has a 10% chance of not showing up (1 out of 10), so the airline sells 12 tickets for each flight.

What is the response variable?
Hint: What are we interested in?

The percent out of 100 ticket holders that do not keep their reservation.

The number of ticket holders that do not keep their reservation out of 100 ticket holders.

The percent of 12 ticket holders that do not keep their reservation.

Question 5

5.

Use the 'show your work' section to run three trials.
Use the random number list, fill in the table, give the three percentages of ticket holders that kept their reservations out of the 12 and calculate the average % of ticket holders that keep their reservations.

Be sure to use the top three rows: one row for each trial.

Question 6

6.

11.1%

Question 7

7.

Using the information from your simulation, give your conclusion below.
Use:
My simuation indicates that...

HInt: make sure to use 'wiggle room' words (or weasel words), your simulation DOES NOT show exactly how many passengers will not show up for the flight, it shows 'about' how many.
I will grade this question.

Question 8

8.

A small airline runs commuter flights with a plane that holds 10 people. Each ticket holder has a 10% chance of not showing up, so the airline sells 12 tickets for each flight.

Now that you've done the simulation and calculated the average %, do you think over selling the seats by 2 is a reasonable idea?
Why or why not?

Yes, more than 10% will not keep their reservations.

No, even if more than 10% will not keep their reservations there are still people that won't get to keep their seat if they sell 12 seats per flight.

This can't be determined since each flight will be different.

Question 9

9.

A newly married couple agrees that they want to have children.
The husband wants to have at least one son, and the wife wants to have at least one daughter.
They are interested in finding how many children they can expect to have before having one boy and one girl.

Assume the probability of having a son is 50% and a daughter is 50%.

To build a simulation, what would the component be?

Question 10

10.

Question 11

11.

A newly married couple agrees that they want to have children.
The husband wants to have at least one son, and the wife wants to have at least one daughter.
They are interested in finding how many children they can expect to have before having one boy and one girl.

Assume the probability of having a son is 50% and a daughter is 50%.

To build a simulation, how would you combine the components into a trial using a list of random numbers?
Select ALL that would work. Hint: there are two

Circle digits two at a time, with the odd representing a daughter and the even a son, until you have both a son and a daughter, repeats ok since the digit represents the gender

Question 12

12.

A newly married couple agrees that they want to have children.
The husband wants to have at least one son, and the wife wants to have at least one daughter.
They are interested in finding how many children they can expect to have before having one boy and one girl.

Assume the probability of having a son is 50% and a daughter is 50%.

Use the show your work area and the random numbers provided to run 5 trials.

Explain your method, tell when you will stop and if repeats are ok.
Demonstrate your method and give the results from the trials

Be sure to use the top 5 rows: one row for each trial.

Question 13

13.

State your conclusion:
My simuation indicates that...

HInt: make sure to use 'wiggle room' words (or weasel words), your simulation DOES NOT show exactly how many children the couple is predited to have. It shows 'about' how many.
I will grade this question.

A small airline runs commuter flights with a plane that holds 10 people. 
Each ticket holder has a 10% chance of  not showing up, so the airline sells 12 tickets for each flight. 

How will you model this component's outcome (the result for one ticket holder)?
Select all that apply:
Hint: What digits will you use?
How will you represent a ticket holder that DOES keep their reservation?
How will you represent a ticket holder that DOES NOT keep their reservation?

Use digits 13 - 99 to represent ticket holders that do not show up

Use the digits 0 - 9 to represent ticket holders

Use the digits 00-99 to represent ticket holders

Use digits 00-12 to represent a ticket holder that does show up

Use digits 1 - 9 to represent ticket holders that DO keep their reservation

Use digit 0 to represent ticket holders that DO NOT keep their reservation

Circle 12 double digits & record how many kept their reservation & showed up for the flight.

A small airline runs commuter flights with a plane that holds 10 people. Each ticket holder has a 10% chance of  not showing up, so the airline sells 12 tickets for each flight. 

What percent of ticket holders does the simulation of three trials predict or suggest will not keep their reservations?
Hint: this is your average %

33.3%

8.3%

16.7%

.111%

.333%

Having a child

Having a son

Having a daughter

Having at least one son and at least one daughter

Having only one son and only one daughter

A newly married couple agrees that they want to have children.  
The husband wants to have at least one son, and the wife wants to have at least one daughter.  
They are interested in finding how many children they can expect to have before having one boy and one girl.

Assume the probability of having a son is 50% and a daughter is 50%.

To build a simulation, how would you model the component using a list of random numbers?
Select ALL that would work. 
There are FIVE.

Use the digits 00-99 where 00 represents 100

the even numbers = a son, the odd numbers = a daughter

Use the digits 1, 2 and 3

1 represents a son, 2 represents a daughter, 3 represents a pet

Use the single digits 0 - 9

0-4 = son, 5 - 9 = daughter

Digits 0-9 represent how many children the couple will have

01-50= girl, 51-00= boy

Circle the digits one at a time, the odd represents a son, even represents a daughter, stop when both a son and a daughter have been chosen, repeats ok since the digit represents gender.

Circle the digits one at a time, each digit represents how many children the couple might have

Circle the 1's and the 2's until you have one of each, count all the numbers, repeates not ok since these are children.