A maintenance firm has gathered the following information regarding the failure

Question

A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioning systems Evidence of Gas Leaks Yes Evidence of electrical failure Yes 55 No 17 No 32 The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability (a) That failure involves a gas leak (b) That there is evidence of electrical failure given that there was a gas leak (c) That there is evidence of a gas leak given that there is evidence of electrical failure

Explanation / Answer

So we obsereve there is a total of 107 incidents.

a) Out of 107 cases 87 cases were there which had evidence of gas leaks.

So, probability of this event is = 87/107 = 0.813

b) There are 87 cases of gas leaks. Out of them 55 has evidence of electrical failure.

So, probability of this event = 0.632

c) There are 72 cases in total those have evidence of electrical failure.

OUt of which 55 got evidence of gas leaks. So probability = 55/72 =0.764

If you have any doubt, let me know in the comment section. Thank you

evidence of gas leak evidence Yes No Total of YES 55 17 72 electric NO 32 3 35 failure Total 87 20 107

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.