1. The main problems in the manufacture of hard disks (HD) is the contamination.
ID: 3220332 • Letter: 1
Question
1. The main problems in the manufacture of hard disks (HD) is the contamination. The number of contaminating particles follows a Poisson distribution with an average of 0.10 particles per square centimeter.The area of the disc studied is 100 cm^2a. ¿Which is the Probability of observing 8 particles on a HD disc of 100cm^2. b. ¿What is the probability of observing 12 particles on two HD disks (200cm^2). 1. The main problems in the manufacture of hard disks (HD) is the contamination. The number of contaminating particles follows a Poisson distribution with an average of 0.10 particles per square centimeter.The area of the disc studied is 100 cm^2
a. ¿Which is the Probability of observing 8 particles on a HD disc of 100cm^2. b. ¿What is the probability of observing 12 particles on two HD disks (200cm^2).
a. ¿Which is the Probability of observing 8 particles on a HD disc of 100cm^2. b. ¿What is the probability of observing 12 particles on two HD disks (200cm^2).
Explanation / Answer
(a) = 0.10 * 100 = 10, x = 8
P(x) = (e^-)(^x) / x!
P(8) = (e^-10)(10^8) / 8! = 0.1126
(b) = 0.10 * 200 = 20, x = 12
P(x) = (e^-)(^x) / x!
P(12) = (e^-10)(10^12) / 12! = 0.0176
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