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the probability that more than 6 will need a warranty repair?

the probability that more than 6 will need a warranty repair?

MATLAB: An Introduction with Applications
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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Suppose that warranty records for a car maker show that the probability that a new car needs a warranty repair in the first 90 days is 20%. If a random sample of 20 new cars is selected, what is the probability that more than 6 will need a warranty repair? 0.0321 0.9133 0.0867 0.1091
Transcribed Image Text:Suppose that warranty records for a car maker show that the probability that a new car needs a warranty repair in the first 90 days is 20%. If a random sample of 20 new cars is selected, what is the probability that more than 6 will need a warranty repair? 0.0321 0.9133 0.0867 0.1091
Expert Solution
Step 1

here given n = 20

p = probability that car needs warranty repair

q = 1-p = 0.8

here use binomial theorem 

x= no of car needs warranty repair

BINOMIAL DISTRIBUTION

  • Each trial is independent
  • Finite number of trial
  • There are two outcomes success and failure
  • Probability of success remain constant in each trial

 

p(x=r)=nr(p)r(q)n-r

 

 

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