Answer: 0.8490
Step-by-step explanation:
Given : The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.
i.e. and
Let x denotes the lengths of aluminum-coated steel sheets.
Required Formula :
For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-
∴ Required probability = 0.8490