Question
In: Statistics and Probability
A fabric company sells rolls of fabric. Their top selling fabric roll is cut to a...
A fabric company sells rolls of fabric. Their top selling fabric roll is cut to a length of 12 feet and rolled up for the customer. The actual lengths of the fabric on each roll is normally distributed with a mean of 11.97 ft and a variance of 0.09 ft2.
- What proportion of these fabric rolls are longer than 12.02 feet?
- What proportion of these fabric rolls are between 12.00 feet and 12.10 feet?
Solutions
Expert Solution
X : The actual lengths of the fabric on each roll
X ~ N(11.97 , 0.09) = N(11.97 , 0.32)
a).the proportion of these fabric rolls are longer than 12.02 feet is:-
[ in any blank cell of excel type =NORMSDIST(0.1667)]
b).the proportion of these fabric rolls are between 12.00 feet and 12.10 feet is:-
[ in any blank cell of excel type =NORMSDIST(0.4333)
in any blank cell of excel type =NORMSDIST(0.1)]
*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.
orchestra answered 1 year agoRelated Solutions
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