The number of dollars a round trip plane ticket costs from North America to Europe is normally distributed with a mean of $1,780 and a standard deviation of $335. What is the probability a randomly selected ticket costs between $775 and $2,785?

The number of dollars a round trip plane ticket costs from North America to Europe is normally distributed with a mean of $1,780 and a standard deviation of $335. What is the probability a randomly selected ticket costs between $775 and $2,785?

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Enter your answer in decimal form. For example. 75% should be entered as 0.75

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Expert Solution

Step 1

Consider the given data,

$Mean, μ = 1780 Standard Deviation, σ = 335$

Calculate the z-value for $x = 775$ ,

$\begin{array}{rcl} z & = & \frac{x - μ}{σ} \\ = & \frac{775 - 1780}{335} \\ = & - 3 \end{array}$

Calculate the z-value for $x = 2785$ ,

$\begin{array}{rcl} z & = & \frac{x - μ}{σ} \\ = & \frac{2785 - 1780}{335} \\ = & 3 \end{array}$

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