6. O 0/1 points | P DevoreStat9 2.E.079 Notes Ask Your Two pumps connected in pa

Question

6. O 0/1 points | P DevoreStat9 2.E.079 Notes Ask Your Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump will fail is 0.20, and the probability that only the newer pump will fail is 0.15. What is the probability that the pumping system will fail on any given day (which happens if both pumps fail)? (Round your answers to four decimal places.) smaller answer 0.0298 larger answer Need Help?Read It Talk to a Tutor Su ress Practice Another Version My Notes Ask Your are connected in parallel, so s DevoreStat9 2 E.080 ts 1 and

Explanation / Answer

Ans:

Let A1= older pump fails,

A2= newer pump fails,

x=P(A1 and A2)

P(A1)=0.20+x

P(A2)=0.15+x

Now,

P(A1 and A2)=x=P(A1)*P(A2)=(0.20+x)*(0.15+x)

x=x^2+0.35x+0.03

x^2-0.65x+0.03=0

x=0.6000 and 0.0500

smaller=0.0500

larger=0.6000

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