GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 25Crafting an Impactful Resume: Balancing Detail with Brevity
10:00 AM EDT
-10:30 AM EDT
Showcase your achievements through impactful storytelling! Get ready for an LIVE session on April 25, Learn how to craft compelling narratives on your resume that resonate with admission committees.
Apr 26Get a Top GRE Score with Target Test Prep
12:00 PM EDT
-01:00 PM EDT
The Target Test Prep course represents a quantum leap forward in GRE preparation, a radical reinterpretation of the way that students should study. In fact, more and more Target Test Prep students are scoring 329 and above on the GRE.
Machines A and B operate independently of each other.
[#permalink]
Updated on: 14 Oct 2019, 08:59
Updated on: 14 Oct 2019, 08:59
2
6
Bookmarks
00:00
Question Stats:
67% (00:55) correct
32% (00:53) wrong based on 82 sessions
Hide Show timer Statistics
Machines A and B operate independently of each other.
The probability that machine A operates properly is 0.4
The probability that machine B operates properly is 0.3
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Due to the rights issue, I changed the question numbers and didn't mention the resource
The probability that machine A operates properly is 0.4
The probability that machine B operates properly is 0.3
Quantity A |
Quantity B |
The probability that exactly one machine operates properly |
0.54 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Due to the rights issue, I changed the question numbers and didn't mention the resource
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Machines A and B operate independently of each other.
[#permalink]
14 Oct 2019, 13:33
14 Oct 2019, 13:33
7
2
Bookmarks
Asmakan wrote:
Machines A and B operate independently of each other.
The probability that machine A operates properly is 0.4
The probability that machine B operates properly is 0.3
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Due to the rights issue, I changed the question numbers and didn't mention the resource
The probability that machine A operates properly is 0.4
The probability that machine B operates properly is 0.3
Quantity A |
Quantity B |
The probability that exactly one machine operates properly |
0.54 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Due to the rights issue, I changed the question numbers and didn't mention the resource
If events A and B are independent, then P(A and B) = P(A) x P(B)
If P(machine A operates properly) = 0.4, then P(machine A does NOT operate properly) = 0.6
If P(machine B operates properly) = 0.3, then P(machine B does NOT operate properly) = 0.7
Want to determine: P(exactly one machine operates properly)
There are two ways in which exactly one machine operates properly:
1) machine A operates properly AND machine B does NOT operate properly
OR
2) machine B operates properly AND machine A does NOT operate properly
Let's calculate each probability
1) machine A operates properly AND machine B does NOT operate properly
P(machine A operates properly AND machine B does NOT operate properly) = P(machine A operates properly) x P(machine B does NOT operate properly)
= 0.4 x 0.7
= 0.28
2) machine B operates properly AND machine A does NOT operate properly
P(machine B operates properly AND machine A does NOT operate properly) = P(machine B operates properly) x P(machine A does NOT operate properly)
= 0.3 x 0.6
= 0.18
So, P(exactly one machine operates properly) = 0.28 + 0.18
= 0.46
We get:
QUANTITY A: 0.46
QUANTITY B: 0.54
Answer: B
Cheers,
Brent
General Discussion
Re: Machines A and B operate independently of each other.
[#permalink]
14 Oct 2019, 00:26
14 Oct 2019, 00:26
1
My question : when solving
I solve it as Probability of machine A or B works probably. But the solution didn't work out.
I solve it as Probability of machine A or B works probably. But the solution didn't work out.
