Consider purchasing a system of audio components consisting of a receiver a pair

Question

Consider purchasing a system of audio components consisting of a receiver a pair of speakers, and a CD player. Let A, be the event that the receiver functions property throughout the warranty period, A2 be the event that the speakers function properly throughout the warranty peno , and A3 be the event that the CD p a er unctions properly throughout the arran y peno suppose that hese events are mutually independent ith 4 0 92 P 4 .96, an 80 oun our answers to four decimal places.) (a) What is the probability that all three components function properly throughout the warranty period? (b) What is the probability that at least one component needs service during the warranty period? (c) What is the probability that all three components need service during the warranty period? (d) What is the probability that only the receiver needs service during the warranty period? (e) What is the probabilty that exactly one of the three components needs service during the warranty period? Need Help? .etad"-rto a Tutor

Explanation / Answer

a)P(all three function properly)=0.92*0.96*0.80=0.7066

b)

P(at least one need service)=1-0.7066 =0.2934

c)

P(all 3 need service)=(1-0.92)*(1-0.96)*(1-0.8)=0.0006

d)P(only receiver needs service)=(1-0.92)*0.96*0.8 =0.0614

e)

P(exactly one need service)=(1-0.92)*0.96)*0.8+0.92*(1-0.96)*0.8+0.92*0.96*(1-0.8)=0.2675

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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