Question

Could you please solve every question on the paper thank you

Use the following description to answer the next 2 questions. A maintenance firm has gathered the following information regarding the failure mechanism for 100 air-conditioning (AC) systems. If this is a representative sample of AC failure, find the following probabilities. No Evidence of Gas Leaks Yes Yes 533 59 Evidence of electrical failure 77 13 tiog 24. (4pts) What is the probability that a failure involves a gas leak? P(B) - 7700 25. (4pts) Given that there is evidence of electrical failure, what is the probability that there is evidence of a gas leak? P(AnB) = 53/100

Answer 1

Here we have giren. tollowing information regarding the tailure mechanism for 100 are conditioning (Ac) System. this following table is given by Evidence of gas leaks B Yes NO electrical Evidence of kailure res 53 58 NO 34 42 77 100 and which Here Evidence of electrical failure = 58 is denoted as A therefore and Evidence of No is 42 and it is denoted as similarly, bailure. electrical Al Evidence of gas leaks is 77 and which is denoted as B also Evidence of No gas leaks is 13 and which is denoted as 13 and denoted by B and total of this is 100. Now we have to find two Probabilities.

@ We a have gas to find leak probability that a bailure involes P tailure involves a gas leak) number of Evidence of gas leaks Total of tailure mechanism for aik - Condition. 77 100 0.77 Now we have to find, Probability that there is evidence of gas leaks also given that there is evidence of electrical failure there to re we have to obtain PCAMB) P(ANB) = of Evidence of electrical gas leaks failure in evidence Total of failure mechanism - toe aire Condition 53 too P (ANB) = 0.53

a involves a gas leak probability is that a bälure 0.77 given that there is evidence of electrical tailure. Probability that there is evidence of gas leak is 0.53