Bags of pasta are sold with a nominal weight of 500 g. In the distribution of weight of the bags is normal with a mean of 502 g and a standard deviation of 14 g. What is the probability that a bag contains less than 500 g?

The probability that a bag contains less than 500g is 0.4432

Step-by-step explanation:

A normal random variable with mean Mu = 502 and standard deviation sd = 14 is standardized with the transformation:

Z = (X - Mu) / sd = (X - 502) / 14

For a weight value of 500g, Z = (500 - 502) / 14 = - 0.1429.

P (X <500) = P (Z <-0.1429) = 0.4432.

The probability that a bag contains less than 500g is 0.4432