SOLUTION: An electronics manufacturer has found that only 1 out of 500 of its television sets is defective. You are ordering a shipment of television sets for the electronics store where you

Question 427924: An electronics manufacturer has found that only 1 out of 500 of its television sets is defective. You are ordering a shipment of television sets for the electronics store where you work. How many television sets can you order before the probability that at least on defective set reaches 60%?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An electronics manufacturer has found that only 1 out of 500 of its television sets is defective. You are ordering a shipment of television sets for the electronics store where you work. How many television sets =can you order before the probability that at least on defective set reaches 60%?
--------
Binomial with n = unknown, p(defect) = 1/500, p(good)= 499/500
-----------------------------
P(at least one defective) = 1 - P(none defective)
= 1 - (499/500)^n
---
Solve: 1-(499/500)^n >= 0.60
---
(499/500)^n <= 0.4
n <= log(0.4)/log(499/500)
---
n <= 457.69
---
Maximum order: n = 457
=============================
Cheers,
Stan H.
=============
RELATED QUESTIONS
In a shipment of 50 televisions, 5 are defective. If 2 television sets are randomly... (answered by brucewill)

* Show your complete solution * Explain your answer after the solution 1. A shipment... (answered by Boreal)

1. A shipment of 10 TV sets contains 3 defective units. If three units are taken for... (answered by ikleyn)

An electronics store receives a shipment of 50 flat screen TVs of which 6 are defective.... (answered by rothauserc)

In a shipment of 40 televisions, 3 are defective. If 2 television sets are randomly... (answered by sudhanshu_kmr)

A shipment of 10 TV sets contains 2 units that are defective. In how many ways can 3 TV... (answered by greenestamps)

a shipment of 15 television sets contains four defective ones. in how many ways can one... (answered by stanbon)

in a shipment of 30 televisions, 4 are defective. if 3 television sets are randomly... (answered by ewatrrr)

Hello, sorry for posting this again, just having a hard time understanding it so it will... (answered by math_tutor2020)