Question1 Incorrect The number of surface flaws in plastic panels used in the in

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Question1 Incorrect The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.02 flaws per square foot of plastic panel Assume an automobile interior contains 10 square feet of plastic panel (a) What is the probability that there are no surface flaws in an auto's interior? (b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws? (c) If 10 cars are sold to a rental company, what is the probability that at most 1 car has any surface flaws? Round your answers to four decimal places (e.g. 98.7654) (a) The probability is the tolerance is +/2% (b) The probability is (c) The probability is Statistical Tables and Charts

Explanation / Answer

Ans:

In 10 square feet,there will be on average 10*0.02=0.2 flaws

a)Probability that there is no flaw in an automobile=P(x=0)=e-0.2=0.8187

b)Binomial distribution:

n=10,p=probability of having any surface flaw=Probability of having atleast one surface flaw=1-0.8187=0.1813

P(none of the car have any flaw)=10C0*0.18130*0.818710=0.1353

c)P(atmost one car have any flaw)=P(none of the car)+P(one car have any flaw)

=0.1353+10C1*0.18131*0.81879

=0.4350

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