The Weight of a Product Is Normally Distributed with a Mean

The weight of a product is normally distributed with a mean of 5 ounces. A randomly selected unit of this product weighs 7.1 ounces. The probability of a unit weighing more than 7.1 ounces is .0014. The production supervisor has lost files containing various pieces of information regarding this process, including the standard deviation. Determine the value of the standard deviation for this process.

A) 1.67
B) .70
C) 2.10
D) .50