(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Assuming a comp is switched on, the probability that the monitor is not working is 0.005, the probability that the CPU is faulty is 0.02, and the probability that the keyboard cable has been damaged is 0.0025, and that there are no other faults.

Proceed to evaluate the probability that the computer will be operaitonal for a period of 100 days, if it is switched on and off once a day only, and that the faults have the same probability of occurence on each occasion

The question then says that the conditional probability of the monitor not working given that the keyboard cable has been damaged is 0.05, and askes how it affects the answers

2. Relevant equations

3. The attempt at a solution

For this :

( 1-(0.02+0.005+0.0025)^100)

which is 0.386 for the first part

A little stuck on the second part I assume:

(1 - (0.005 X 0.05 + 0.002 + 0.0025) ) ^100

but the correct answer is 0.390459

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Conditional probability

**Physics Forums | Science Articles, Homework Help, Discussion**