Ask Question
20 October, 06:15

T A pizza delivery takes 30 minutes on average to complete. Given that the standard deviation for this task is 3 minutes and the times for completing this task are normally distributed, what is the probability that on any given day it will take 24 minutes to 36 minutes to complete the task?

+5
Answers (1)
  1. 20 October, 07:50
    0
    95% probability that on any given day it will take 24 minutes to 36 minutes to complete the task.

    Step-by-step explanation:

    The Empirical Rule states that, for a normally distributed random variable:

    68% of the measures are within 1 standard deviation of the mean.

    95% of the measures are within 2 standard deviation of the mean.

    99.7% of the measures are within 3 standard deviations of the mean.

    In this problem, we have that:

    Mean = 30

    Standard deviation = 3

    What is the probability that on any given day it will take 24 minutes to 36 minutes to complete the task?

    24 = 30 - 2*3

    So 24 is two standard deviations below the mean

    36 = 30 + 2*3

    So 36 is two standard deviations above the mean

    By the Empirical rule, there is a 95% probability that on any given day it will take 24 minutes to 36 minutes to complete the task.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “T A pizza delivery takes 30 minutes on average to complete. Given that the standard deviation for this task is 3 minutes and the times for ...” 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