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

0.860058

Explanation:

n = 15

p = 0.01

q = 0.99

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

0 15

​(0.01) 0

(0.99) 15

=0.860058