sibuzwaW
2021-03-11
Answered

What is the difference between a normal profile of a random variable and normal pdf of a random variable.

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Mayme

Answered 2021-03-12
Author has **103** answers

Step 1

From the given information,

A random variable is a function X with a particular domain and range that takes all possible outcomes from the function of the event or distribution. The random variable may be continuous or discrete in nature and any distribution function may or may not be followed.

Step 2

To explain these bell-shaped data distributions, we use a mathematical model with a smooth bell-shape curve.

These models are called regular curves or distributions that are normal. In several different types of common measurements, they were first named "normal" because the pattern occurred. This is a normal rv profile.

The normal distribution is by far the most relevant distribution of probabilities.

The Central Limit Theorem (CLT) that we will discuss later in the book is one of the key explanations for that. To give you an idea, the CLT states that the distribution of the sum would be roughly normal under some conditions if you add a large number of random variables. The meaning of this outcome is that many random variables can be expressed as the sum of a large number of rankings in real life.

Consider a random variable X. with expected value as E(X) and variance as

A normalization or normal profile of the random variable is considered. Example: It is said that Random Variable X follows the Binomial distribution.

A random variable X is said to follow Normal distribution then X having probability distribution function

asked 2021-02-25

Basic Computation:$\hat{p}$ Distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(b) Suppose$n=25$ and $p=0.15$ . Can we safely approximate the $\hat{p}$ distribution by a normal distribution? Why or why not?

(b) Suppose

asked 2021-09-15

The following 2 sets of data represent test scores in a morning and afternoon section of a math class.

Each of these sections has 15 students, whose test scores are given below

morning

63, 74, 71, 54, 70, 83, 57, 78, 91, 84, 93, 73, 85, 87, 76

afternoon

63, 79, 93, 88, 76, 85, 98, 66, 88, 74, 64, 89, 99, 95, 83

Construct a back-to-back stem-leaf plot to represent the distribution of the test scores for the morning and the afternoon classes.

Each of these sections has 15 students, whose test scores are given below

morning

63, 74, 71, 54, 70, 83, 57, 78, 91, 84, 93, 73, 85, 87, 76

afternoon

63, 79, 93, 88, 76, 85, 98, 66, 88, 74, 64, 89, 99, 95, 83

Construct a back-to-back stem-leaf plot to represent the distribution of the test scores for the morning and the afternoon classes.

asked 2021-11-26

In a survey of daily internet game time usage by college school students, a sample of 7 students provided the following data:

3,1.5,2.2,1.5,0.5,0,2.5

Find the mean of the data.

3,1.5,2.2,1.5,0.5,0,2.5

Find the mean of the data.

asked 2020-12-14

True? Determine whether the following statement is true: When random samples of 50 men and 50 women are obtained and we want to test the claim that men and women have different mean annual incomes, there is no need to confirm that the samples are from populations with normal distributions.

asked 2020-11-26

The following two-way contingency table gives the breakdown of a town's population according to party affiliation (A, B, C, or None) and opinion on a property tax issue:

Opinion

$\begin{array}{|cccc|}\hline \text{Affiliation}& \text{Favors}& \text{Opposes}& \text{Undecided}\\ \text{A}& 0.12& 0.09& 0.07\\ \text{B}& 0.16& 0.12& 0.14\\ \text{C}& 0.04& 0.03& 0.06\\ \text{None}& 0.08& 0.06& 0.03\\ \hline\end{array}\phantom{\rule{0ex}{0ex}}$

A person is selected at random. What is the probability that the person is affiliated with parties A or B?

Opinion

A person is selected at random. What is the probability that the person is affiliated with parties A or B?

asked 2021-11-27

Find mean and median for given data.

12,15,17,19,15,13,15,20,22,24,25,23,26,29,30

12,15,17,19,15,13,15,20,22,24,25,23,26,29,30

asked 2022-06-19

How to find the y of the vertex. How can I find the y? The x intercepts are (-1,0) (5,0) and the y intercept is (0,5) and the x of the vertex is 2.