Answered: The price of a plane ticket from Los…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The price of a plane ticket from Los Angeles to Honolulu, Hawaii is modeled with a normal distribution with mean μ = $350.50 and variance σ2 = $40.00.

a. Write out the integral form of the probability that a plane ticket will be between $355 and $375. Then use the pnorm function in R to find this probability.

b. What is the probability that a plane ticket will be below $352.50?

c. What is the probability that a plane ticket is above $348?

Expert Solution

Step 1

Let X be the price of the plane ticket

$μ = $ 350.50 σ^{2} = $ 40.00 T h e r e f o r e, X ~ N o r m a l (350.50, 1600)$

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