SOLUTION: A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute the probability of a valuebetween 75.0 and 90.0. Compute the probability of a value75.0 or less

Algebra ->  Probability-and-statistics -> SOLUTION: A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute the probability of a valuebetween 75.0 and 90.0. Compute the probability of a value75.0 or less      Log On


   

Question 610414: A normal population has a mean of 80.0 and a standard deviation of 14.0.
Compute the probability of a valuebetween 75.0 and 90.0.
Compute the probability of a value75.0 or less.
Compute the probability of a valuebetween 55.0 and 70.0.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

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HIghly  Recommend getting familiar with TI Calculator OR Excel functions/Stat tool 

OR the use of various websites for your statistical calculations:Stattrek.com,  easycalculation.com  ..etc

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A normal population has a mean of 80.0 and a standard deviation of 14.0.

Compute the probability of a valuebetween 75.0 and 90.0.

     P( (90-80)/14 > z >(75-80)/14) =NORMSDIST(10/14) -NORMSDIST(-5/14) = .76 - .36= .40

 Compute the probability of a value 75.0 or less.

     P(z < (75-80)/14) = NORMSDIST(-5/14) = .36

 Compute the probability of a value between 55.0 and 70.0. 

       P( (55-80)/14 < z <(70-80)/14) =NORMSDIST(-10/14)- NORMSDIST(-25/14) = .24- .04= .20