Question

A robot randomly removes about 1,000 parts each hour from a large bin. For the first hour, the number of parts in the bin is large enough that the removal process is equivalent to sampling with replacement. The parts supplier just made you aware of a production problem; it’s likely that 15% of the parts are unacceptable.

What is the probability that every one of the first ten parts selected will be acceptable?

Answer 1

P(a part is unacceptable) = 0.15

P(a part is acceptable) = 1 - 0.15 = 0.85

Number of parts taken = 10

P(every one of the first ten parts selected will be acceptable) = 0.85¹⁰

= 0.1969