1) Describe two main differences between classical and empirical probabilities. a. Classical probabilities are based on assumptions; Empirical probabilities are based on observations. b. Classical probabilities do not require an action to take place; Empirical probabilities have to have been “performed”.

2) Gather 16 to 30 coins. Shake and empty bag of coins 10 times and tally up how many head and tails are showing.

Number of coins: 20

* Consider the first toss, what is the observed probability of tossing a head? Of tossing a tail? Reduce to the lowest term.
Tossing a Head: 11 / 20
Tossing a Tail: 9 / 20
The fractions are already in the lowest terms.
* Did any of your repetitions have exactly the same number of heads and tails? Yes

* How many times did this happen? Once…10 heads and 10 tails (toss 5)

* Compute the average number of heads from the ten trials (add up the number of heads and divide it by 10).
11 + 8 +11 + 11+ 10 + 12 + 11 + 12 + 13 + 12 = 111
111 / 10 = 11.1
* Change this to the average probability of tossing heads by putting the average number of heads in a fraction over the number of coins you used in your tosses.

11.1 / 20 = 0.555

* Did anything surprising or unexpected happen in your results for this experiment? Yes, I did not expect to so many of the same results: 11H and 9T…4 times
12H and 8T…2 times

3) Write the sample space for the outcomes of tossing three coins using H for heads and T for tails. H: headsT: tails
(HHH, HHT, HTT, HTH, TTT, TTH, THT, THH)
P(E) = n(E)
n(S)
P(E) = ⅛
This is known as a classical probability method.

...PROBABILITY DISTRIBUTION
In the world of statistics, we are introduced to the concept of probability. On page 146 of our text, it defines probability as "a value between zero and one, inclusive, describing the relative possibility (chance or likelihood) an event will occur" (Lind, 2012). When we think about how much this concept pops up within our daily lives, we might be shocked to find the results. Oftentimes, we do not think in these terms, but...

...variable X is a weighted average of the possible values that the random variable can take. Unlike the sample mean of a group of observations, which gives each observation equal weight, the mean of a random variable weights each outcome xi according to its probability, pi. The mean also of a random variable provides the long-run average of the variable, or the expected average outcome over many observations.The common symbol for the mean (also known as the expected value of X)...

...QMT200
CHAPTER 3: PROBABILITY DISTRIBUTION
3.1
RANDOM VARIABLES AND PROBABILITY DISTRIBUTION
Random variables is a quantity resulting from an experiment that, by chance, can assume different values. Examples of random variables are the number of defective light bulbs produced during the week and the heights of the students is a class. Two types of random variables are discrete random variables and continuous random variable.
3.2
DISCRETE RANDOM...

...Theoretical vs. EmpiricalProbabilityProbability-
describes the chance that an uncertain event will occur.
EmpiricalProbability - estimate that the event will happen based on how often the event occurs after collecting the data or running an experiment. It is based specifically on direct observation or experiences.
EmpiricalProbability Formula
P(E) =...

...Chapter 1
The Problem and Its Background
Introduction
Changes are permanent thing on earth. Are the people is ready enough to accept the changes on the educational system? The current opening of classes here in the Philippines usually starts from June to March but our lawmakers want to amend the opening of classes. The existing school calendar which spans from June to March is often disrupted as destructive typhoons plague the region during the rainy season that’s why our lawmakers...

...happens in transactions where the seller knows more than the
buyer, although the reverse can happen as well. Potentially, this could be a harmful situation because one
party can take advantage of the other party’s lack of knowledge.
EVENT STUDY: An empirical study performed on a security that has experienced a significant catalyst
occurrence, and has subsequently changed dramatically in value as a result of that catalyst. The event can
have either a positive or negative...

...Probability 2
Theory
Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. (Feller, 1966) One object of probability theory is random variables. An individual coin toss would be considered to be a random variable. I predict if the coin is tossed repeatedly many times the sequence of it landing on either heads or tails will be about even.
Experiment
The Experiment we...

...Probability
1.) AE-2 List the enduring understandings for a content-area unit to be implemented over a three- to five- week time period. Explain how the enduring understandings serve to contextualize (add context or way of thinking to) the content-area standards.
Unit: Data and Probability
Time: 3 weeks max
Enduring Understanding:
“Student Will Be Able To:
- Know what probability is (chance, fairness, a way to observe our random world,...