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C. The probability that the the child will be older than 5 years old? | 0.8681 d. The probability that the child will be between 5.28 and 5.58 years old is

C. The probability that the the child will be older than 5 years old? | 0.8681 d. The probability that the child will be between 5.28 and 5.58 years old is

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Understanding Statistical Distribution for Child Age Calculation** This lesson will explore essential concepts related to statistical distribution, particularly focusing on a data set examining children's ages. Follow along as we break down each part of the question and solve it using statistical methods. --- ### a. Mean Calculation **The mean of this distribution is:** \[ \boxed{5.335} \] --- ### b. Standard Deviation Calculation **The standard deviation is:** \[ \boxed{0.2627} \] --- ### c. Probability Calculation Over a Threshold **The probability that the child will be older than 5 years old is:** \[ \boxed{0.8681} \] Here, the probability value indicates the likelihood that a child from this distribution will exceed the age of 5 years. --- ### d. Probability Calculation Between Two Values **The probability that the child will be between 5.28 and 5.58 years old is:** \[ \boxed{} \] [This space is left for students to calculate based on their understanding.] --- ### e. Percentile Calculation for Child's Age **If such a child is at the 58th percentile, how old is that child?** \[ \boxed{} \text{ years old} \] [This space is also left for students to determine the age by applying the percentile rank formula.] --- ### Additional Resources For deeper understanding or if you find yourself needing assistance, please utilize the following resources: - **Video Tutorials:** - [Video 1](#) - [Video 2](#) - **Written Example:** - [Click here for a detailed example](#) - **Instructor Assistance:** - [Message instructor](#) Once you have completed the question, don't forget to submit your answers for evaluation! --- **Submit Your Work:** [Submit Question] [Jump to Answer] --- --- This exercise aims to solidify your understanding of mean, standard deviation, and probability calculations within a real-world context. Good luck! ---
Transcribed Image Text:**Understanding Statistical Distribution for Child Age Calculation** This lesson will explore essential concepts related to statistical distribution, particularly focusing on a data set examining children's ages. Follow along as we break down each part of the question and solve it using statistical methods. --- ### a. Mean Calculation **The mean of this distribution is:** \[ \boxed{5.335} \] --- ### b. Standard Deviation Calculation **The standard deviation is:** \[ \boxed{0.2627} \] --- ### c. Probability Calculation Over a Threshold **The probability that the child will be older than 5 years old is:** \[ \boxed{0.8681} \] Here, the probability value indicates the likelihood that a child from this distribution will exceed the age of 5 years. --- ### d. Probability Calculation Between Two Values **The probability that the child will be between 5.28 and 5.58 years old is:** \[ \boxed{} \] [This space is left for students to calculate based on their understanding.] --- ### e. Percentile Calculation for Child's Age **If such a child is at the 58th percentile, how old is that child?** \[ \boxed{} \text{ years old} \] [This space is also left for students to determine the age by applying the percentile rank formula.] --- ### Additional Resources For deeper understanding or if you find yourself needing assistance, please utilize the following resources: - **Video Tutorials:** - [Video 1](#) - [Video 2](#) - **Written Example:** - [Click here for a detailed example](#) - **Instructor Assistance:** - [Message instructor](#) Once you have completed the question, don't forget to submit your answers for evaluation! --- **Submit Your Work:** [Submit Question] [Jump to Answer] --- --- This exercise aims to solidify your understanding of mean, standard deviation, and probability calculations within a real-world context. Good luck! ---
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