The age of children in kindergarten on the first day of school is uniformly distributed between 5 and 5.74 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. The mean of this distribution is  The standard deviation is  What is the probability that the child will be older than 5.4 years old?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

The age of children in kindergarten on the first day of school is uniformly distributed between 5 and 5.74 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible.

  1. The mean of this distribution is 
  2. The standard deviation is 
  3. What is the probability that the child will be older than 5.4 years old? 
  4. The probability that the child will be between 5.4 and 5.6 years old is 
  5. If such a child is at the 77th percentile, how old is that child?  years old
Expert Solution
Step 1

“Since you have posted a question with multiple sub-parts, we will solve first three sub-

parts for you. To get remaining sub-part solved please repost the complete question and

mention the sub-parts to be solved

 

 

(1)

 

Obtain the mean of the distribution.

The mean of the distribution is obtained below as follows:

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman