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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
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X follows normal distribution with mean 50 and variance as 100 what is P (x>=60)?
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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)?.
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