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Course: Probability Theory and Introduction to Statistics Group Name: Yataycılar (http://projever.blogspot.com/ ) Members: Mustafa Zorba Çağlar Akbayırlı Esma Ertürk M.Berkhan Yıldırım T.C Celal bayar University Industrial Engineering Manisa 2013 02/01/2014

Homework 4

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Page 1: Homework 4

Course: Probability Theory and Introduction to Statistics

Group Name: Yataycılar (http://projever.blogspot.com/)

Members: Mustafa Zorba

Çağlar Akbayırlı

Esma Ertürk

M.Berkhan Yıldırım

T.C Celal bayar University

Industrial Engineering

Manisa 2013

02/01/2014

Page 2: Homework 4

In a company that sells fresh food to cold storage product purchases are made between 06:00 – 08:00 ın the morning. Every 20 minutes 4 trucks drop the load. %5 of the dropped load items are set to be unsuitable from in aisle. What is the probability that three truck dropload and return 2 kg items of 5 kg between 06:00 – 08:00 whenever in 20 minute?

Page 3: Homework 4

Poisson Distribution – Binomial Distribution

λ=4 k=3

P= = 43 . e-4 = 0,195 3!

5% of the product is not suitable P=5/100 q=95/100

(q=1-p=suitable products)

P = C(5,2) . (5/100)2 . (95/100)3 = 0,021 P = (0,195) . (0,021) = 4,095.10-3 = 0,00495