Answer:
C. Probability is 0.90, which is inconsistent with the Empirical Rule.
Step-by-step explanation:
We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.
First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:
Now, we need to find the probability .
Using property , we will get:
From normal distribution table, we will get:
Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.