Question

Practice question 4

The factory manufactures lego parts. We assume that the weight X [grams] follows the N (1.95, 0.05²) distribution and the lego parts are packed in packages of 100 parts.

1. What is the probability that the weight of one lego part randomly removed from the package is between 1.8 g and 2.1 g?
2. Specify a 95% confidence interval for the weight of the package.
3. What is the probability that the weight of at most one lego part in the entire lego parts package falls below the expected value of the weight of an individual lego part?
4. What is the probability that the lego parts in the package weigh more than 1.97 grams on average?

Answer 1