Portfolio Week 10 1) Student Sam has access to two types of internet connection:
ID: 3336523 • Letter: P
Question
Portfolio Week 10 1) Student Sam has access to two types of internet connection: a 4G phone connection, and a WiFi connection. The WiFi has unlimited data but is very unstable. The 4G connection is very stable but has limited data available. It is Friday night and Sam must submit an MZB126 assignment, there is a 90% chance that Sam will fail to submit their assignment if the WiFi isn't working and a 95% chance that Sam will fail to submit their assignment if the 4G service is out of data. Given that the probability of the WiFi not working 30% and the probability his 4G service is out of data is 25%: a) What is the probability that Sam will have at least one way to submit their assignmentie, either the WiFi or the 4G connection will be working? b) If Sam failed to submit an assignment, what is the probability that the WiFi connection was not working, given the probability of Sam not submitting an assignment is 0.38? 2) Calculate the probability that the following circuit fails to function if the probability that a component works is p and each component working is independent of the others. HEExplanation / Answer
Question 1:
Here we are given that:
P( fail | no wifi ) = 0.9
P( fail | out of data ) = 0.95
Also, we are given that:
P( no wifi ) = 0.3 and P( out of data ) = 0.25
a) Probability that there would be at least one thing working - either wifi or 4g data
= 1 - Probability that both are not working
= 1 - (1 - P( no wifi ) )*(1 - P( out of data ) )
= 1 - (1 - 0.3)*(1 - 0.25 )
= 0.475
Therefore 0.475 is the required probability here.
b) Given that he failed to submit the assignment, probability that wifi was not working is computed as:
= Probability that wifi is not working and he failed to submit the assignment / Probability that he failed to submit the assignment
= P( no wifi )P( fail | no wifi ) / 0.38
= 0.9*0.3 / 0.38
= 0.7105
Therefore 0.7105 is the required probability here.