SOLUTION: True or False? Support your answer. If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score between X = 80
Algebra.Com
Question 933739: True or False? Support your answer. If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score between X = 80 and X = 120 is p = 0.3413.
I would appreciate just a formula, I am not sure what to do to calculate the answer.
Thank you
JB
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
µ = 100 and σ = 20
.....
one score is randomly selected:
P( 80 < x <120) = P( -20/20 < z < 20/20) = normalcdf(-1,1) = .6826
0r
P( 80 < x <120) = P(z < 1) - P(z < -1) = .8413 - .1587 = .6826
.....
For the normal distribution: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
68.26% of the Area under the standard normal curve is between z = -1 and z = 1
Note: 34.13% of the Area under the standard normal curve is between z = 0 and z = 1
...
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50% to the right
RELATED QUESTIONS
For a normal distribution with µ = 500 and σ = 100, find the following values:
a. (answered by stanbon)
A normal distribution has a mean = 25 and a standard deviation σ = 5. Find the... (answered by stanbon)
A standard normal random variable is a normally distributed random variable with mean µ = (answered by stanbon)
If you subtract a negative number from a positive number, the result is always a positive (answered by longjonsilver)
If a distribution is normal with mean 12 and standard deviation 3, then the median is... (answered by amarjeeth123)
True, False If random samples is taken from a normal distribution with mean 50 and... (answered by stanbon)
1. A psychologist studied self-esteem scores and found the sample data set to be... (answered by ewatrrr)
IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15
(answered by nerdybill)
Assume that the test has 8 true/false questions, and 11 multiple choice questions (4... (answered by Glaviolette)