SOLUTION: The mean weight of 200 students is 140 pounds,and the standard deviation is 10 pounds.If we assume that the weights are normally distributed,evaluate thefollowing: (i)The expected

Algebra ->  Permutations -> SOLUTION: The mean weight of 200 students is 140 pounds,and the standard deviation is 10 pounds.If we assume that the weights are normally distributed,evaluate thefollowing: (i)The expected      Log On


   



Question 1019416: The mean weight of 200 students is 140 pounds,and the standard deviation is 10 pounds.If we assume that the weights are normally distributed,evaluate thefollowing:
(i)The expected number of students that weigh between 110and145 pounds
(ii)The expected number of students that weigh lessthan 120pounds.
(iii)The expected number of students that weigh more than 170pounds

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
between 110 and 145 is a z between -30/10 (-3) and a z of (5/10) or 1/2
That probability is 0.6901. and that is 138 students.
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Fewer than 120 pounds is fewer than -2 sd. The probability is 0.02275, and that is 5 students, rounded.
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more than 170 pounds is more than +3 sd. The probability is 0.00134, and that would be 0 students, rounded (Expected value is 0.27)