SOLUTION: Please help me to solve this problem... A normal distribution has a mean of 36 and a standard deviation of 8. Calculate the probability that an element selected from the populati

Question 452700: Please help me to solve this problem...
A normal distribution has a mean of 36 and a standard deviation of 8. Calculate the probability that an element selected from the population is:
a. < 25
b. > 33
c. Between 22 and 35
d. > 36
e. Between 21 and 27
Must show work
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A normal distribution has a mean of 36 and a standard deviation of 8.
Calculate the probability that an element selected from the population is:
a. < 25
z(25) = (25-36)/8 = -1/8
P(x < 25) = P(z < 1/8) = normalcdf(-100,-1/8) = 0.4503
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b. > 33
z(33) = (33-36)/8 = -3/8
P(x > 33) = P(z > -3/8) = 0.6462
------------------------------------
c. Between 22 and 35
z(22) = (22-36)/8 = -12/8 = -1.5
z(35) = (35-36)/8 = -1/8
------
P(22 < x < 35) = P(-1.5 < z < -1/8) = normalcdf(-1.5,-1/8)= 0.3835
-------------------------------------
Can you handle the rest?
Cheers,
Stan H.
========================
d. > 36
e. Between 21 and 27

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