Answer to Question #150250 in Statistics and Probability for Parth Dobariya

Question

Assume that the probability that a wafer contains a large particle of contamination is 0.01
and that the wafers are independent; that is, the probability that a wafer contains a large
particle is not dependent on the characteristics of any of the other wafers. If 15 wafers are
analyzed, what is the probability that no large particles are found?

Answer 1

n = 15

p = 0.01

q = 0.99

$P( X = 0) = C^{15}_0 (0.01)^0(0.99)^{15} = 0.860058$

Answer: 0.860058