Homework Help is Here – Start Your Trial Now!
Math
Statistics
Please answer all questions and show work

Please answer all questions and show work

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
See similar textbooks
icon
Related questions
Question

Please answer all questions and show work

The weights of airplane passengers and crew are normally distributed on JJ Airlines. These weights include the weight of carry-on items. The weight,a, of a male passenger/crew has a mean of 85 kilograms and a standard deviation of 10 kilograms. The weight,b, of a female passenger/crew has a mean of 75 kilograms and a standard deviation of 8 kilograms. The weight,c, of a child passenger has a mean of 41 kilograms and a standard deviation of 5 kilograms. It is assumed that all weights are independent from one another in this problem. Flight JJ Airlines #717 has 63 males,74 females, and 40 children on board. Let w be defined as the total weight of all of the people on board. Let X be defined as the total weight of males on board. More simply, X is defined as X = a1 +a2+...+a63 W = a1 + a2+...+a63 + b1 + b2 + ... + b74 + c1 +c2 + ... c40. Note that the a's, b's, and c's are independent of one another. a) Calculate the expected value of X. 5355 b) Calculate the standard deviation of X. 100 c) Calculate the expected value of W. 10810 d) Calculate the standard deviation of W. 231.13 e) If we pick a value k such that the probability that X >k equals .50 then calculate k? 5355 f) What is the probability that W> 12700 pounds? .022 g) What is the probability that W is within two standard deviations of its expected value? .954 h) Suppose. f1 is the weight (in kg) of the first female to buy a ticket and m1 is the weight of the first male(in kg) to buy a ticket. What is the probability that f1 > m1? .5 i) What is the probability that What is the probability that the first 4 females to buy tickets all weight less than 70 kg. (including carry ons.)? 0.014
Transcribed Image Text:The weights of airplane passengers and crew are normally distributed on JJ Airlines. These weights include the weight of carry-on items. The weight,a, of a male passenger/crew has a mean of 85 kilograms and a standard deviation of 10 kilograms. The weight,b, of a female passenger/crew has a mean of 75 kilograms and a standard deviation of 8 kilograms. The weight,c, of a child passenger has a mean of 41 kilograms and a standard deviation of 5 kilograms. It is assumed that all weights are independent from one another in this problem. Flight JJ Airlines #717 has 63 males,74 females, and 40 children on board. Let w be defined as the total weight of all of the people on board. Let X be defined as the total weight of males on board. More simply, X is defined as X = a1 +a2+...+a63 W = a1 + a2+...+a63 + b1 + b2 + ... + b74 + c1 +c2 + ... c40. Note that the a's, b's, and c's are independent of one another. a) Calculate the expected value of X. 5355 b) Calculate the standard deviation of X. 100 c) Calculate the expected value of W. 10810 d) Calculate the standard deviation of W. 231.13 e) If we pick a value k such that the probability that X >k equals .50 then calculate k? 5355 f) What is the probability that W> 12700 pounds? .022 g) What is the probability that W is within two standard deviations of its expected value? .954 h) Suppose. f1 is the weight (in kg) of the first female to buy a ticket and m1 is the weight of the first male(in kg) to buy a ticket. What is the probability that f1 > m1? .5 i) What is the probability that What is the probability that the first 4 females to buy tickets all weight less than 70 kg. (including carry ons.)? 0.014
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS