The Normal Distribution Curve Which Models, Distributions of Data in a Wide

question 66

Multiple Choice

The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function
$p ( x ) = \frac { 1 } { \sqrt { 2 \pi } } e ^ { - ( x - \mu ) ^ { 2 } / 2 \delta ^ { 2 } }$ where $\pi = 3.14159265 \ldots$ and $\sigma$ and $\mu$ are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. ?
In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with $\mu = 4.1$ and $\sigma = 1.2$ . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by $\int _ { a } ^ { b } p ( x ) d x$
Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 5 or higher. (Use the range 4.5 to 10.5.) Round your answer to the nearest whole number.

• A)45%
• B) 46%
• C) 47%
• D) 48%
• E) 49%

Understand the jurisdiction and governing laws of agency relationships in the United States.

Understand the concept and application of datum surfaces in manufacturing and design.

Identify the types of datums and their roles in the design and manufacturing processes.

Comprehend how datums are designated and utilized in drawings and practical applications.

---

Definitions:

19th Century

The 19th Century denotes the period from January 1, 1801, through December 31, 1900, marked by significant industrial, cultural, and political changes globally.

American Farmer

The term "American Farmer" refers to individuals in the United States who engage in agricultural activities, contributing to the production of food and other agricultural products.

Feeds

Materials or food given to livestock and poultry for nutritional purposes.

Civil War

A war between groups within the same country or state, often caused by political, social, or economic disagreements.