Find the probability that at least 44 flights arrive late.
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 rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best reate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 1010 Southwest flights and observing whether they arrive on time. (a) Find the
Expert Solution
Step 1
Given : n=10 , P(flights arriving on time)=0.8
Therefore , P(flights arriving late)=1-0.8=0.2
Let , X be the number of flights arriving late
Here , X→B(n=10 , p=0.2)
The probability mass function of X is ,
; x=0,1,2,.......,n and q=1-p
= 0 ; otherwise
Our aim is to find the probability that at least 4 flights arrive late.
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