Question

A manufacturer of computer chips realizes the probability that achip does not work after 1 year is p = 0.05. On a circuit board, 4 ofthese chips are used, thus for this part to work, all 4 of this chips mustwork.

Answer 1

0.185

Step-by-step explanation:

The part doesn't work if at least 1 of the chips doesn't work. So, to find the probability that at least 1 of chips doesn't work, we will use its complement ans we will find the probability that all 4 chips are working. So,

P( part doesn't work) = 1 - P(part works)

Then, if the probability that a chip doesn't work is p = 0.05, the probability that a chip works is

p' = 1 - 0.05 = 0.95

Then, the probability that the part works is

P(part works) = 0.95 x 0.95 x 0.95 x 0.95

P(part works) = 0.815

Because there are 4 chips in one part. Then, the probability that a part doesn't work is

P(part doesn't work) = 1 - 0.815

P(part doesn't work) = 0.185

Therefore, the answer is 0.185