Suppose that warranty records for a car maker show that the probability that a new car needs awarranty repair in the first 90 days is 20%. If a random sample of 20 new cars is selected, what isthe probability that more than 6 will need a warranty repair?0.03210.91330.08670.1091

Answered: the probability that more than 6 will…

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

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

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

$p (x = r) = (\binom{n}{r}) (p)^{r} (q)^{n - r}$

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