Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution.  The standard deviation of the commuting time is 6 minutes. 18 What is the probability that the commuting time would exceed 55 minutes?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution.  The standard deviation of the commuting time is 6 minutes.
18 What is the probability that the commuting time would exceed 55 minutes?
a 0.0950            
b 0.0678            
c 0.0484            
d 0.0346
Expert Solution
Step 1-Writing given data

Given that 

The Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution.

The standard deviation (σ) = 6 minutes

 We know that 

From problem number 17 that mean commuting time is 46 minutes.

(μ) = 46 minutes

 

We know that 

Z = (x-μ)σ

 

 

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