SOLUTION: Number of students who graduate College every year is Normal Distribution
with mean = 400 and standard deviation 50. Find probability that this year
between 300 and 500 stude
Algebra.Com
Question 1035401: Number of students who graduate College every year is Normal Distribution
with mean = 400 and standard deviation 50. Find probability that this year
between 300 and 500 students will graduate College.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Let P be probability
:
P ( 300 < X < 500 ) = P ( X < 500 ) - P ( X < 300 )
:
calculate z-score for each probability and determine its probability by consulting the table of z-scores
:
z-score ( X < 500 ) = ( 500 - 400 ) / 50 = 2
P ( X < 500 ) = 0.9772
:
z-score ( X < 300 ) = ( 300 - 400 ) / 50 = -2
P ( X < 300 ) = 0.0228
:
**********************************************
P ( 300 < X < 500 ) = 0.9772 - 0.0228 = 0.9544
**********************************************
:
RELATED QUESTIONS
1.
Convert x = 70 to z-score if Normal Distribution has mean = 50 and Standard Deviation (answered by ewatrrr)
(a) Two identical urns, Urn I and Urn II are on a table. Urn I contains one red and one... (answered by psbhowmick)
7) Suppose 5.2% of students enrolled in a local college do not graduate on time. Find the (answered by stanbon)
A large hospital administrators hiring firm tests job applicants who recently graduated... (answered by art123)
7. Consider the approximately normal population of heights of male college students with... (answered by Boreal)
If random samples of size 9 is taken from a normal distribution with mean 50 and standard (answered by stanbon)
A study is done by a community group in two neighboring colleges to determine which... (answered by CPhill)
Salaries for business graduates in D.C. averaged $45,000 with a standard deviation of... (answered by stanbon)
True, False If random samples is taken from a normal distribution with mean 50 and... (answered by stanbon)