Statistics and Probability Fundamentals

Study Notes

"Depend TV" is a virtual platform where individuals from different locations can engage in various activities together.
Teacher Rev, a grade 11 math teacher, uses the platform to guide students through math-related topics.
Statistics is a discipline that combines mathematics, economics, research, and practical applications to gather reliable data.
Statistics can be used to determine preferences or outcomes in various contexts, such as polls or games.
Probability is a key concept in statistics, dealing with the likelihood of uncertain outcomes.
Arcade games are examples of chance games, where the outcome is uncertain and repeatable under similar conditions.
Tossing a coin is a common example of an experiment with a sample space of two possible outcomes: head or tail.
The probability of getting a head when tossing a coin is one half, as there is an equal chance of getting either outcome.
When rolling a die, the sample space includes the numbers 1 through 6, and the probability of rolling a number less than five is two-thirds.
In a standard deck of cards, the probability of drawing a two is 1 over 13.- Chance events have uncertain outcomes and can be represented by a random variable, which can be measured or counted.
Many daily experiences involve random events, such as the amount of liquid in a drink at a fast food store.
Simulation can help understand the behavior of random variables.
The amount of liquid in a medium-sized drink at a fast food store is a random variable, with the capacity known to be around 21 ounces.
Measuring the amount of liquid in multiple containers revealed variations in amount, with a histogram showing most guests received around 21 ounces but some received less or more.
Long Juan, a milk tea seller, wanted to analyze sales data by looking at the number of milk teas ordered per transaction.
The number of milk teas ordered per transaction (x) is a random variable that can take on values of one to five.
Tossing a coin twice is an example of a discrete random variable with possible outcomes of zero, one, or two heads.
Discrete random variables are variables that can only take on a countable number of distinct values.
Continuous random variables can take on any value within a range, including fractions and decimals.
Examples of continuous random variables include the amount of liquid in an order of milk tea and the time it takes to create an order.

Description

Test your knowledge of statistics and probability fundamentals, including concepts such as sample spaces, probability calculations, random variables, discrete and continuous variables, as well as real-world applications of statistics and probability.