It is known that 10% of the items produced by a certain machine end up having a flaw. If we select 7 items from the production l

Question

3 years ago

7

ine, a) What is the probability that at least one of them has a flaw? Part b) What is the probability that exactly three of them has a flaw?

1 answer:

denpristay [2] · Answer 1 · 2022-06-08T00:00:30+03:00

6 0

Step-by-step explanation:

p = 0.1, q = 0.9, n = 7

a) Use complementary probability.

P(at least 1) = 1 − P(0)

P(at least 1) = 1 − (0.9)⁷

P(at least 1) = 0.522

b) Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

P(3) = ₇C₃ (0.1)³ (0.9)⁴

P(3) = 0.023