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.

  1. What proportion of these fabric rolls are longer than 12.02 feet?
  2. 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 ago
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