SOLUTION: Each month in UP. a year level generates an average of 28 lbs of paper trash for recycling. Assume the standard deviation is 21lbs. Assume the variable is approximately normally di

Algebra ->  Probability-and-statistics -> SOLUTION: Each month in UP. a year level generates an average of 28 lbs of paper trash for recycling. Assume the standard deviation is 21lbs. Assume the variable is approximately normally di      Log On


   

Question 168666: Each month in UP. a year level generates an average of 28 lbs of paper trash for recycling. Assume the standard deviation is 21lbs. Assume the variable is approximately normally distributed. If a year level is selected at random find the percentage of generating:
A. 0 between 27 and 31 lbs per month.
B. More than 30.2 lbs per month.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Each month in UP. a year level generates an average of 28 lbs of paper trash for recycling. Assume the standard deviation is 21lbs. Assume the variable is approximately normally distributed. If a year level is selected at random find the percentage of generating:
A. 0 between 27 and 31 lbs per month.
z(27) = (27-28)/21 = -0.04762
z(31) = (31-28)/21 = 0.14286
P(27 < x < 31) = P(-0.04762 < z < 0.14286) = 0.07579
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B. More than 30.2 lbs per month.
z(30.2) = (30.2-28)/21 = 0.104762
P(x > 30.2) = P(z > 0.104762) = 0.45828..
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Cheers,
Stan H.