Question

Chips suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing.

a.what's the probability that the fifth chip you test is the rst bad one you nd?
b.what's the probability you nd a bad one within the rst 10 you examine?

Answer 1

(a) P( fifth one is bad) = P( first 4 are OK) * P(5th is bad)

= (0.98)^4 * 0.02 = 0.0184 or 1.84%

(b) this will be (0.98)^10 = 81.70%