SOLUTION: A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute the probability of a valuebetween 75.0 and 90.0. Compute the probability of a value75.0 or less

Algebra.Com
Question 610414: A normal population has a mean of 80.0 and a standard deviation of 14.0.
Compute the probability of a valuebetween 75.0 and 90.0.
Compute the probability of a value75.0 or less.
Compute the probability of a valuebetween 55.0 and 70.0.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
__________________________________________________________________________
HIghly Recommend getting familiar with TI Calculator OR Excel functions/Stat tool
OR the use of various websites for your statistical calculations:Stattrek.com, easycalculation.com ..etc
___________________________________________________________________________
A normal population has a mean of 80.0 and a standard deviation of 14.0.
Compute the probability of a valuebetween 75.0 and 90.0.
P( (90-80)/14 > z >(75-80)/14) =NORMSDIST(10/14) -NORMSDIST(-5/14) = .76 - .36= .40
Compute the probability of a value 75.0 or less.
P(z < (75-80)/14) = NORMSDIST(-5/14) = .36
Compute the probability of a value between 55.0 and 70.0.
P( (55-80)/14 < z <(70-80)/14) =NORMSDIST(-10/14)- NORMSDIST(-25/14) = .24- .04= .20
RELATED QUESTIONS

A normal population has a mean of 80.0 and a standard deviation of 14.0 Question C=... (answered by Edwin McCravy)
X has a normal distribution with a mean of 80.0 and a standard deviation of 4.0. Find... (answered by CubeyThePenguin)
A normal distribution has a mean of 80 and a standard deviation of 14. Compute the... (answered by stanbon)
X has a normal distribution with a mean of 75.0 and a standard deviation of 3.5. Find the (answered by stanbon,LloydB)
The standard normal distribution always has a mean of 0 and a standard deviation of... (answered by stanbon)
A normal population has a mean of 52 and a standard deviation of 14. You select a random... (answered by Boreal)
A normal population has a mean of 75 and a standard deviation of 5. You select a sample... (answered by stanbon)
A normal distribution has a mean of 80 and a standard deviation of 14. Determine the... (answered by stanbon)
A normal distribution has a mean of 80 and a standard deviation of 14. Determine the... (answered by stanbon)