SOLUTION: For a normally distributed population, mean of 6.5 and standard deviation of 4, compute: a. The probability of picking one item from the population and having it fall between

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Question 557798: For a normally distributed population, mean of 6.5 and standard
deviation of 4, compute:
a. The probability of picking one item from the population and having it fall between 6.5 and 14.75

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
For a normally distributed population, mean of 6.5 and standard
deviation of 4, compute:
a. The probability of picking one item from the population and having it fall between 6.5 and 14.75
z-score for left endpoint 6.5 is = %28x-mu%29%2Fsigma = %286.5-6.5%29%2F4 = 0

(1) if your z-table reads from the middle, look up z=0, get 0 
(2) if your z-table reads from the left, look up z=0, get 0.5

z-score for right endpoint 14.75 is %28x-mu%29%2Fsigma = %2814.75-6.5%29%2F4 = 2.0625, round to 2.06

(1) if your z-table reads from the middle, look up 2.06, get .4803 
(2) if your z-table reads from the left, look up 2.06, get .9803


(1) if your z-table reads from the middle, subtract .4803-0 = .4803  
(2) if your z-table reads from the left, subtract .9803-.5 = .4803

Answer: .4803

Edwin