GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 16 May 2021, 01:59
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
A manufacturer is using glass as the surface
7 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

avatar
fozzzy
Director
Director
Joined: 29 Nov 2012
Posts: 635
A manufacturer is using glass as the surface [#permalink] New post  23 Dec 2012, 22:36
1
Kudos
5
Bookmarks
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

66% (01:36) correct 34% (01:53) wrong based on 195 sessions

Hide Show timer Statistics

A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 5% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.

What is the probability that a smartphone bundle that will be rejected by quality control?

(A) 0.25

(B) .05^10

(C) 1-0.95^10

(D) 1-0.05^10

(E) 0.95^10
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Expert Reply
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 75016
CAT Tests Top Member of the Month
Re: A manufacturer is using glass as the surface [#permalink] New post  23 Dec 2012, 23:16
3
Kudos
2
Bookmarks
Expert Reply
fozzzy wrote:
A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 5% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.

What is the probability that a smartphone bundle that will be rejected by quality control?

(A) 0.25

(B) .05^10

(C) 1-0.95^10

(D) 1-0.05^10

(E) 0.95^10


A bundle will be rejected by quality control if at least one phone do not pass the test.

Find the probability of the opposite event and subtract from 1.

The opposite event is that bundle will NOT be rejected by quality control, which will happen if all 10 phones pass the test, so P(all 10 phones pass test)=0.95^10.

P(at least one phone do not pass the test)=1- P(all 10 phones pass test)=1-0.95^10.

Answer: C.
_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
General Discussion
avatar
fozzzy
Director
Director
Joined: 29 Nov 2012
Posts: 635
Re: A manufacturer is using glass as the surface [#permalink] New post  23 Dec 2012, 23:25
could you please explain why the power is raised to 10. is it because 10 phone so raise by 10 or any other explanation?
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 75016
CAT Tests Top Member of the Month
Re: A manufacturer is using glass as the surface [#permalink] New post  23 Dec 2012, 23:33
Expert Reply
fozzzy wrote:
could you please explain why the power is raised to 10. is it because 10 phone so raise by 10 or any other explanation?


The probability that a phone will pass the test is 0.95, thus the probability that all 10 phones will pass the test is P(all 10 phones pass test)=0.95^10.
_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
avatar
Spunkerspawn
Intern
Intern
Joined: 30 Apr 2010
Posts: 18
Re: A manufacturer is using glass as the surface [#permalink] New post  18 Oct 2013, 04:36
1
Kudos
probability for one phone passing the test = 0.95
probability for 10 phones passing the test = 0.95 AND 0.95 AND 0.95 ..... = 0.95 * 0.95 * 0.95 .... = 0.95^10
probability for at least one phone not passing the test = 1 - 0.95^10

Answer: C
User avatar
B
MarkusKarl
Manager
Manager
Joined: 15 Mar 2015
Posts: 100
Re: A manufacturer is using glass as the surface [#permalink] New post  18 Aug 2016, 01:01
In this case, as written above, it is much easier to calculate the probability that none of the phones will be defect and erase that from 100%.

Probability of passing 1 phone = 0.95.
Probability of passing 10 phones = 0.95*0.95*...*0.95 = 0.95^10
Probability of not passing 10 phones = 1-0.95^10

Answer choice: C
_________________
I love being wrong. An incorrect answer offers an extraordinary opportunity to improve.
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 19032
Re: A manufacturer is using glass as the surface [#permalink] New post  10 Aug 2019, 12:46
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: A manufacturer is using glass as the surface [#permalink]
10 Aug 2019, 12:46
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9840 posts
Bunuel
Math Expert
75016 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2469 posts
generis
Senior SC Moderator
4743 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions