a factory tests a certain type of concrete slab for breaking strenght to determine reliability. The strenght of concrete is measured in megapascals (MPa.). The breaking strenght of the type of concrete being tested is normally distributed with a mean of 35 MPa and standard deviation of 3 MPa. Any breaking strenght less than 32 MPa is considered defective. What is closest to the probability that a random concrete sample from this distribution is defective?
The empirical rule in statistics states that approximately 68% of the data points of a normal distribution lie within the range plus and minus one standard deviation of the mean. Therefore approximately 32 percent of the data points lie outside that range and 32/2 % lie below that range. |dw:1365463044499:dw| Can you see the probability now?
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