Ask Question
29 May, 08:35

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?

+3
Answers (1)
  1. 29 May, 09:19
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers