Step 1: Calculate the size of the sample space for flipping a coin ten times using the Counting Principle.Into cell B2, type an equal sign and then the calculation for finding this sample size. When you push enter on your key board, the final answer should appear in cell B2. For example, if I wanted to use GoogleSheets to calculate the area of a rectangle that has sides of 3 inches and 5 inches, I'd type =3*5 and the result in the cell would be 15. But when I click on that cell and look in the function bar, I would see how I got that answer. For example, if I wanted to use GoogleSheets to find 4343then I would type =4^3To calculate, you always need to start with an =Step 2: Repeated permutationsPick an event that interests you based on the experiment of flipping a coin 10 times: i.e. Flip five heads and 5 tails, etc. (Cannot pick all heads or all tails). Type your event into Cell B5Use the formula for permutations with repeated outcomes to find the number of ways your event can occur (e.g. the size of the event space). ?=?!?1!?2!⋅⋅⋅??!P=n!r1!r2!⋅⋅⋅rk!where k equals the number of distinct events. Into cell B6, once again use the function bar to find the sample size by typing in the expanded version of the permutation formula.For example, if I wanted to find ?=5!2!3!P=5!2!3!I would type =(5*4*3*2*1)/((2*1)*(3*2*1))Step 3: Calculating the Theoretical Probability of your event E.Using part 1 and 2, type into cell B9 how to find the probability of E. You should have a decimal value result. Let's make sure it is just three decimal places. Use the Decrease Decimal places button (labeled on the first GoogleSheet image) to display three decimal places, or to the first non-zero digit in the case of a very small value. Step 4: Calculating the Empirical Probability of your event E.All of the results from the 10-coin flips done on the Lab 1 - Probability tab were used to create a list of 122 outcomes for this experiment that were summarized in a table on the Lab 1 - Prob and Count tabs.Locate the event you chose on that table.Use the information provided there to find the Empirical Probability of your event. Into Cell B12, show the calculation for this value and once again, adjust the final answer to only three decimal places, if needed. Into Cell A14, type up a comparison of your classical (theoretical) results to the empirical results. What conclusions can you draw of the difference in values, if any. Into Cell A15, type up a comparison of the differences in the Part 2 Empirical vs. Classical (Theoretical) values and the Part 3 Empirical vs. Classical (Theoretical) values and offer an opinion why one experiment might or might not be closer to the classical (theoretical) value than the other. Step 1: Sample size of flipping a coin 10 times n= Step 2: Repeated Permutations E = n(E)= Step 3: Calculating Theoretical Probabilty of E P(E)= Step 4: Calculting the Empircal Probability of E. P(E)=

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Answered: Step 1: Calculate the size of the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Step 1: Calculate the size of the sample space for flipping a coin ten times using the Counting Principle.

Into cell B2, type an equal sign and then the calculation for finding this sample size. When you push enter on your key board, the final answer should appear in cell B2.
- For example, if I wanted to use GoogleSheets to calculate the area of a rectangle that has sides of 3 inches and 5 inches, I'd type =3*5 and the result in the cell would be 15. But when I click on that cell and look in the function bar, I would see how I got that answer.
- For example, if I wanted to use GoogleSheets to find 4343then I would type =4^3
- To calculate, you always need to start with an =

Step 2: Repeated permutations

Pick an event that interests you based on the experiment of flipping a coin 10 times: i.e. Flip five heads and 5 tails, etc. (Cannot pick all heads or all tails). Type your event into Cell B5
Use the formula for permutations with repeated outcomes to find the number of ways your event can occur (e.g. the size of the event space). ?=?!?1!?2!⋅⋅⋅??!P=n!r1!r2!⋅⋅⋅rk!where k equals the number of distinct events.
- Into cell B6, once again use the function bar to find the sample size by typing in the expanded version of the permutation formula.
  - For example, if I wanted to find ?=5!2!3!P=5!2!3!I would type =(5*4*3*2*1)/((2*1)*(3*2*1))

Step 3: Calculating the Theoretical Probability of your event E.

Using part 1 and 2, type into cell B9 how to find the probability of E.
You should have a decimal value result. Let's make sure it is just three decimal places. Use the Decrease Decimal places button (labeled on the first GoogleSheet image) to display three decimal places, or to the first non-zero digit in the case of a very small value.

Step 4: Calculating the Empirical Probability of your event E.

All of the results from the 10-coin flips done on the Lab 1 - Probability tab were used to create a list of 122 outcomes for this experiment that were summarized in a table on the Lab 1 - Prob and Count tabs.

Locate the event you chose on that table.
Use the information provided there to find the Empirical Probability of your event. Into Cell B12, show the calculation for this value and once again, adjust the final answer to only three decimal places, if needed.
Into Cell A14, type up a comparison of your classical (theoretical) results to the empirical results. What conclusions can you draw of the difference in values, if any.
Into Cell A15, type up a comparison of the differences in the Part 2 Empirical vs. Classical (Theoretical) values and the Part 3 Empirical vs. Classical (Theoretical) values and offer an opinion why one experiment might or might not be closer to the classical (theoretical) value than the other.

Step 1: Sample size of flipping a coin 10 times
n=

Step 2: Repeated Permutations
E =
n(E)=

Step 3: Calculating Theoretical Probabilty of E
P(E)=

Step 4: Calculting the Empircal Probability of E.
P(E)=

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