a) What is the probability distribution of a variable measuring the number of workers retiring? b) What is the probability that more than three of them will retire this year? c) Summarize the probability distribution for the number of workers that will retire this year using three measures.

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

It has been reported that 1.7% of the work force in a company will retire this year. Consider a random sample of 200 workers.

a) What is the probability distribution of a variable measuring the number of workers retiring?

b) What is the probability that more than three of them will retire this year?

c) Summarize the probability distribution for the number of workers that will retire this year using three measures.

d) What is the probability that more than three of them will retire this year? Use the Poisson approximation to the binomial.

e) Is the Poisson approximation to the binomial used in d) a good approximation?

f) Once a worker retires, the company organizes a farewell party. Let the costs associated with these parties be a function of the number of workers who retire. Specifically: ???? = 250 + 8 ∙ ?????? ?? ??????? ???????? Calculate the expected value and variance of this cost.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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