## What did you learn in general mathematics?

General Mathematics aims to develop learners’ understanding of concepts and techniques drawn from number and algebra, trigonometry and world geometry, sequences, finance, networks and decision mathematics and statistics, in order to solve applied problems.

**Why Is Expected Value important in real life?**

Expected value is an ideal way to make decisions because it allows you to quantify and incorporate risk into your decision making, as well as balance potentially good and bad outcomes in the same equation—since good and bad outcomes are both possible.

### How valuable is math in the modern world?

Mathematics helps organize patterns and regularities in the world. Mathematics helps predict the behavior of nature and phenomena in the world. Mathematics helps control nature and occurrences in the world for our own ends. predict phenomena, and make life easier for us.

**What is expectation in machine learning?**

A set of incomplete observed data is given to the system with the assumption that the observed data comes from a specific model. The next step is known as “Expectation” – step or E-step. In this step, we use the observed data in order to estimate or guess the values of the missing or incomplete data.

#### What are the goals of mathematics?

Mathematics Learning Objectives and Assessment Plan Be able to apply problem solving and logical skills. Have a deeper understanding of mathematical theory. Have a solid knowledge of elementary statistics. Be able to communicate mathematical/logical ideas in writing.

**Is expectation same as mean?**

There’s no difference. They are two names for the same thing. They tend to be used in different contexts, though. You talk about the expected value of a random variable and the mean of a sample, population or probability distribution.

## What are the applications of mathematics in the modern world?

Modern areas of applied math include mathematical physics, mathematical biology, control theory, aerospace engineering, and math finance. Not only does applied math solve problems, but it also discovers new problems or develops new engineering disciplines.

**How do you find expectation in math?**

The mathematical expectation of a random variable X is also known as the mean value of X. It is generally represented by the symbol μ; that is, μ = E(X). Thus E(X − μ) = 0. Considering a constant c instead of the mean μ, the expected value of X − c [that is, E(X − c)] is termed the firstmoment of X taken about c.

### How does mean change with sample size?

The mean of the sample means is always approximately the same as the population mean µ = 3,500. Spread: The spread is smaller for larger samples, so the standard deviation of the sample means decreases as sample size increases.

**How do you calculate your expectations?**

The basic expected value formula is the probability of an event multiplied by the amount of times the event happens: (P(x) * n). The formula changes slightly according to what kinds of events are happening.

#### What do you mean by mathematical expectation?

Mathematical expectation, also known as the expected value, is the summation or integration of a possible values from a random variable. It is also known as the product of the probability of an event occurring, denoted P(x), and the value corresponding with the actual observed occurrence of the event.

**What is an expectation?**

1 : the act or state of expecting : anticipation in expectation of what would happen. 2a : something expected not up to expectations expectations for an economic recovery. b : basis for expecting : assurance they have every expectation of success.

## What is expectation function?

The definition of expectation follows our intuition. Definition 1 Let X be a random variable and g be any function. 1. If X is discrete, then the expectation of g(X) is defined as, then. E[g(X)] =

**Is sample mean the same as expected value?**

More Detail. The sample mean of a random sample from a population is an estimator of the mean of the population. The expected value of the sample sum is the sample size times the population mean (the average of the numbers in the box).

### How does sample size affect P value?

The p-values is affected by the sample size. Larger the sample size, smaller is the p-values. Increasing the sample size will tend to result in a smaller P-value only if the null hypothesis is false.

**What is your expectation in mathematics in the modern world?**

Answer: In the world today, I expect in the Mathematics subject to be easier to understand and can be applied to real life. Since Mathematics had been discovered and existent hundreds of years ago, I also expect it to be more advance but simplified for better understanding of learners.

#### Does sample size affect the mean?

The central limit theorem states that the sampling distribution of the mean approaches a normal distribution, as the sample size increases. Therefore, as a sample size increases, the sample mean and standard deviation will be closer in value to the population mean μ and standard deviation σ .