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?

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)

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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Question

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

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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 = $\frac{(x - μ)}{σ}$

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