CA Foundation Exam > CA Foundation Questions > X follows normal distribution with mean 50 an...
Start Learning for Free
X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)?
Most Upvoted Answer
X follows normal distribution with mean 50 and variance as 100 what is...
Solution:
Given, X follows normal distribution with mean 50 and variance as 100.
We need to find P (x>=60).
We can solve this problem using the standard normal distribution table or using the z-score formula.
Using the standard normal distribution table:
Step 1: Convert X to z-score.
z = (x - mean) / standard deviation
z = (60 - 50) / √100
z = 1
Step 2: Find the probability using the standard normal distribution table.
P (z >= 1) = 0.1587
Using the z-score formula:
Step 1: Convert X to z-score.
z = (x - mean) / standard deviation
z = (60 - 50) / √100
z = 1
Step 2: Find the probability using the z-score formula.
P (z >= 1) = 1 - P (z < />
P (z >= 1) = 1 - 0.8413
P (z >= 1) = 0.1587
Therefore, P (x>=60) = P (z >= 1) = 0.1587.
Conclusion:
The probability of getting a value greater than or equal to 60 in a normal distribution with mean 50 and variance as 100 is 0.1587.
Given, X follows normal distribution with mean 50 and variance as 100.
We need to find P (x>=60).
We can solve this problem using the standard normal distribution table or using the z-score formula.
Using the standard normal distribution table:
Step 1: Convert X to z-score.
z = (x - mean) / standard deviation
z = (60 - 50) / √100
z = 1
Step 2: Find the probability using the standard normal distribution table.
P (z >= 1) = 0.1587
Using the z-score formula:
Step 1: Convert X to z-score.
z = (x - mean) / standard deviation
z = (60 - 50) / √100
z = 1
Step 2: Find the probability using the z-score formula.
P (z >= 1) = 1 - P (z < />
P (z >= 1) = 1 - 0.8413
P (z >= 1) = 0.1587
Therefore, P (x>=60) = P (z >= 1) = 0.1587.
Conclusion:
The probability of getting a value greater than or equal to 60 in a normal distribution with mean 50 and variance as 100 is 0.1587.
Community Answer
X follows normal distribution with mean 50 and variance as 100 what is...
Here mean = 50. variance = 100
SD = 10. (√100)
We find great then equal to 60
so , formula, Z= X - mean ÷ SD
Z= 60 - 50 ÷ 10
Z = 1
HERE ask that great then equal to 60
so in normal distribution ( Bell shape).
in Bell shape curved so area - infinity to mean parts is 0.5. ane
another reminder part is 0 .3413.( take from Z Costco easy available online ).
great then equal to 60 means that
= 1 -( area of - infinity to mean + area mean to Z = 1)
= 1 - ( 0.5 + 0.3413( from Z Costco ) )
= 1- 0.8413
= 0.1587
= 0.16
SD = 10. (√100)
We find great then equal to 60
so , formula, Z= X - mean ÷ SD
Z= 60 - 50 ÷ 10
Z = 1
HERE ask that great then equal to 60
so in normal distribution ( Bell shape).
in Bell shape curved so area - infinity to mean parts is 0.5. ane
another reminder part is 0 .3413.( take from Z Costco easy available online ).
great then equal to 60 means that
= 1 -( area of - infinity to mean + area mean to Z = 1)
= 1 - ( 0.5 + 0.3413( from Z Costco ) )
= 1- 0.8413
= 0.1587
= 0.16
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)?
Question Description
X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)?.
X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)?.
Solutions for X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)? defined & explained in the simplest way possible. Besides giving the explanation of
X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)?, a detailed solution for X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)? has been provided alongside types of X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)? theory, EduRev gives you an
ample number of questions to practice X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup