The Breaking Strength (In Pounds) of a Certain New Synthetic

Multiple Choice

The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 160 pounds and a variance of 9. The material is considered defective if the breaking strength is less than 154 pounds. What is the probability a randomly selected sample will have a breaking strength greater than 166 pounds? Please round the answer to the nearest thousandth, if necessary.

A) 0.977
B) 0.023
C) 0.5
D) 0.841
E) 0.159