Probabilities?

👨🏻‍🏫 學術台語言

Lau

2020-12-11 11:22 pm

A certain electronics device has three independent components A,B and C. Within the first year of use, the probabilities that A, B and C will malfunction are 0.2,0.3 and 0.4 respectively. The device will not function properly under any of the following situation.
(1) A malfunctions, or (2) B and C both malfunction

Find the probability of the following event

the device function properly within the first year of use

回答 (4)

prisoner26535

2020-12-12 10:37 pm

✔ 最佳答案

There are 3x independent cases when the device functions properly:

1. All A, B, C are good.
The probability = 0.8 x 0.7 x 0.6

2. A good, B bad, C good.
The probability = 0.8 x 0.3 x 0.6

3. A good, B good, C bad.
The probability = 0.8 x 0.7 x 0.4

So, the probability of working properly = p(1) + p(2) + p(3) = 0.704

👍 2 👎 0

[匿名]

2020-12-14 7:50 pm

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍

👍 0 👎 0