MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question
100%

Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible.

Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12.
Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - U(
b. Suppose that 35 people are surveyed. What is the distribution of a for this sample? i
N(
c. What is the probability that the average birth month of the 35 people will be more than 7.2?
expand button
Transcribed Image Text:Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( b. Suppose that 35 people are surveyed. What is the distribution of a for this sample? i N( c. What is the probability that the average birth month of the 35 people will be more than 7.2?
Expert Solution
Check Mark
Step 1

Given information:

The number of months X after January 1 that someone is born is uniformly distributed from 0 to 12.

It is required to obtain:

a. The distribution of X.

b. The distribution of x¯ for the sample of n = 35 people.

c. The probability that the average birth month of the people will be more than 7.2.

Introduction:

For a uniform random variable X, the probability density function is:

fx=1b-a; x[a,b]0        ; otherwise

The mean and variance of a uniform random variable are 12a+b and 112b-a2 respectively.

 

Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman