The weight of potato chip bags filled by a machine at a packaging plant is Normally distributed, with a mean of 15.0 ounces and a standard deviation of 0.2 ounces. What is the probability that a randomly chosen bag will weigh less than 14.6 ounces?

Question

Quizplus · Accepted Answer

To find the probability that a randomly chosen bag will weigh less than 14.6 ounces, we use the Z-score formula: Z = (X - μ) / σ, where X is the value in question (14.6 ounces), μ is the mean (15.0 ounces), and σ is the standard deviation (0.2 ounces). Plugging in the values, we get Z = (14.6 - 15.0) / 0.2 = -2. This Z-score corresponds to the left tail of the normal distribution, which has a probability of approximately 2.5%.

The Weight of Potato Chip Bags Filled by a Machine