A computer repair shop has estimated the probability that a computer s

danrussekme

danrussekme

Answered question

2021-11-13

A computer repair shop has estimated the probability that a computer sent to the shop has a bad modem is 14, the probability that the computer has a bad CPU is 18, and the probability that it has a bad drive is 15.
If we assume that modems, CPUs, and drives are independent, find the probability of the following. (Enter your probabilities as fractions.)
(a) A modem, CPU, and a drive in a computer sent to the shop are bad.
(b) Only a modem and a CPU in a computer sent to the shop are bad.
(c) None of the three parts (modem, CPU, or drive) is bad.

Answer & Explanation

Donald Valley

Donald Valley

Beginner2021-11-14Added 10 answers

(a) P(x)=P(m)×P(c)×P(d)
P(x)=14×18×15 =1160 
There is a 1160 probability that a modem, CPU, and drive in a computer sent to the shop are bad. 


b) P(y)=P(m)×P(c)×(1P(d))
P(y)=14×18×(115) =14×18×45 =140 
There is a 140 probability that a modem and CPU are only bad. 

c) P(z)=(1P(m))×(1P(c))×(1P(d))
P(z)=(114)×(118)×(115) =34×78×45 =2140 
There is a 121 probability that none of the parts is bad.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?