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.
The figure above shows the standard normal distribution with mean 0 an
[#permalink]
01 Aug 2023, 08:36
01 Aug 2023, 08:36
Expert Reply
1
Bookmarks
00:00
Question Stats:
73% (02:32) correct
26% (01:50) wrong based on 15 sessions
Hide Show timer Statistics
Attachment:
GRE The figure above shows the standard.jpg [ 18.45 KiB | Viewed 4571 times ]
The figure above shows the standard normal distribution with mean 0 and standard deviation 1, including approximate percent of the distribution corresponding to the six regions shown above. The random variable x is normally distributed with standard deviation of 10 and value x = 135 is at the 20th percentile of the distribution. Of the following which is the best estimate of the mean of the distribution?
A. 140
B. 150
C. 160
D. 165
E. 170
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) Free Materials for the GRE General Exam - Where to get it!!
\(\Longrightarrow\) Best GRE Test Books of 2023
Re: The figure above shows the standard normal distribution with mean 0 an
[#permalink]
16 Sep 2023, 23:36
16 Sep 2023, 23:36
1
Expert Reply
OE
If we consider normal distribution curve given in the question,
We know value at 20th percentile would lie in between โ๐ โ ๐ทโ and โ๐โ.
Where ๐ is mean and ๐ท is standard deviation.
It is given that, value is at 20th percentile is 135
So, we can say โ๐ โ ๐ทโ < ๐ฅ < ๐
๐ โ 10 < 135 < ๐
๐ โ 10 < 135 and 135 < ๐
๐ < 145 and ๐ > 135
135 < ๐ < 145
Out of the available answer choices, we can say that
๐ = 140
If we consider normal distribution curve given in the question,
We know value at 20th percentile would lie in between โ๐ โ ๐ทโ and โ๐โ.
Where ๐ is mean and ๐ท is standard deviation.
It is given that, value is at 20th percentile is 135
So, we can say โ๐ โ ๐ทโ < ๐ฅ < ๐
๐ โ 10 < 135 < ๐
๐ โ 10 < 135 and 135 < ๐
๐ < 145 and ๐ > 135
135 < ๐ < 145
Out of the available answer choices, we can say that
๐ = 140
gmatclubot
Re: The figure above shows the standard normal distribution with mean 0 an [#permalink]
16 Sep 2023, 23:36
Moderators:
