Security scans are often completed on computers in a particular college to assess the security risk from viruses etc. A sample of 120 computers which are considered at risk for viruses and other security issues are checked with a particula security scanner on a Monday and then monitored over the following week. The number of computers which broke down over the following week were recorded. The results are as follows: Security Scan (% Risk) Breakdown No Breakdown Low Risk (0 – 10%) 61 Slight/Moderate Risk (10 – 30%) High Risk (>30%) 13 28 12 3 (i) Based on the above sample work out the probability that a computer in the college will breakdown. Input your answer correct to 4 decimalplaces here: (ii) Based on the above sample work out the probability that a computer has a low risk level OR doesn't breakdown. Input your answer correct to 4 decimalplaces here: (iii) Based on the above sample work out the probability that a computer has a high risk AND has a breakdown. Input your answer correct to 1 decimal place here:

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Security scans are often completed on computers in a particular college to assess the security risk from viruses etc. A
sample of 120 computers which are considered at risk for viruses and other security issues are checked with a particular
security scanner on a Monday and then monitored over the following week. The number of computers which broke down
over the following week were recorded. The results are as follows:
Security Scan (% Risk)
Breakdown
No Breakdown
Low Risk (0 - 10%)
3
61
Slight/Moderate Risk (10 – 30%)
13
28
High Risk (>30%)
12
3
(i)
Based on the above sample work out the probability that a computer in the college will breakdown.
Input your answer correct to 4 decimal places here:
(ii)
Based on the above sample work out the probability that a computer has a low risk level OR doesn't breakdown.
Input your answer correct to 4 decimal places here:
(iii)
Based on the above sample work out the probability that a computer has a high risk AND has a breakdown.
Input your answer correct to 1 decimal place here:
(iv)
Based on the above sample what is the probability that a computer has a breakdown given that it has a high level of risk. Are these
events dependent or independent?
Input your answer correct to 1 decimal place here:
The events are
Transcribed Image Text:Security scans are often completed on computers in a particular college to assess the security risk from viruses etc. A sample of 120 computers which are considered at risk for viruses and other security issues are checked with a particular security scanner on a Monday and then monitored over the following week. The number of computers which broke down over the following week were recorded. The results are as follows: Security Scan (% Risk) Breakdown No Breakdown Low Risk (0 - 10%) 3 61 Slight/Moderate Risk (10 – 30%) 13 28 High Risk (>30%) 12 3 (i) Based on the above sample work out the probability that a computer in the college will breakdown. Input your answer correct to 4 decimal places here: (ii) Based on the above sample work out the probability that a computer has a low risk level OR doesn't breakdown. Input your answer correct to 4 decimal places here: (iii) Based on the above sample work out the probability that a computer has a high risk AND has a breakdown. Input your answer correct to 1 decimal place here: (iv) Based on the above sample what is the probability that a computer has a breakdown given that it has a high level of risk. Are these events dependent or independent? Input your answer correct to 1 decimal place here: The events are
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