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A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Commute Time to Work**
The average one-way commute to work is 25 minutes according to the 2005 American Community Survey. Assuming that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answers to at least four decimal places.
**Part 1 of 2**
(a) Calculate the probability that the selected commuter spends more than 30 minutes commuting one way.
\[ P(X > 30) = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c6c584e-06c5-4678-ab7c-bac672fd186a%2F95b14343-90ff-4eb6-aac4-3513b35657a9%2F26toyoc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Commute Time to Work**
The average one-way commute to work is 25 minutes according to the 2005 American Community Survey. Assuming that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answers to at least four decimal places.
**Part 1 of 2**
(a) Calculate the probability that the selected commuter spends more than 30 minutes commuting one way.
\[ P(X > 30) = \]
Expert Solution
Step 1
Given,
The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes,
mean μ= 25
standard deviation σ=6.1
Let 'X' be a random variable X ~ Normal (μ,σ)
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