SOLUTION: X has a normal distribution with a mean of 80.0 and a standard deviation of 4.0. Find the following probabilities: (A) P(x < 78.0) (B) P(76.0 < x < 84.0) (C) P(x > 82.0

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: X has a normal distribution with a mean of 80.0 and a standard deviation of 4.0. Find the following probabilities: (A) P(x < 78.0) (B) P(76.0 < x < 84.0) (C) P(x > 82.0      Log On


   

Question 698847: X has a normal distribution with a mean of 80.0 and a standard deviation of 4.0. Find the following probabilities:
(A) P(x < 78.0)
(B) P(76.0 < x < 84.0)
(C) P(x > 82.0
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
a) P(x < 78)
78 is 0.5 standard deviations below the mean ---> 30.9%

b) P(76 < x < 84)
within 1 standard deviation of the mean ---> 68.2%

c) P(x > 82)
0.5 and above standard deviations above the mean ---> 30.9%