need help on 7 and 8 apperantly I was wrong and confused why 25% A delivery serv

Question

need help on 7 and 8 apperantly I was wrong and confused why

25% A delivery service offers both express Of those sent standard 75% arrive the next day, and of and standard delivery. Eighty percent of parcels are sent by res #7. standard delivery, and 20%are those sent express, 95% arrive the next day. A record of a parcel delivery is chosen at random trom the company's files at is the probability that the parcel was shipped express and arrived the next da what is the probability that it arrived the next daras. As ) 4 ( 75 ): 79% o) Given that the package arived the next dary, what is the probability that it was sent expres ..45 % 00 ,79 x .45 = 75% Two production lines are used to pack sugar into 5 kg bags. Line 1 produces twice as my bags as does Line 2. One percent of the bags from L.ine I are defective in that they fail to meet a purity specification, while 3% of the bags from Line 2 are defective. A bag is randomly chose for inspection. If the bag is not defective, what is the probability that it came from Line.1?. #8. 0.6112 , . 66003 20.4533 r(

Explanation / Answer

Q.7 (a) Parcel was shipped express and arrived next day = P(express) * Pr(express arrived next day) = 0.20 * 0.95 = 0.19

(B) Probability that arrived next day = 0.20 * 0.95 + 0.80 * 0.75 = 0.79

(c) Pr( Package sent express l Package arrived next day) = Pr(Parcel was shipped express and arrived next day)/ Pr(Arrived nextday) = 0.19/0.79 = 0.241

Q.8 Two production line are used into 5 kg bags. If line 2 produce n bags then line 1 produces 2n bags.

Pr(Line 1) = 2/3 ; Pr(line 2) = 1/3

Pr(Defective from line 1 ) = 0.01 ; Pr(Not defective from line 1) = 0.99

Pr( Defective from line 2) = 0.03 ; Pr(Not defective from line 2) = 0.97

Bag is randomly chosen and it is not defective

so Pr(A random bag is not defective) = 0.99 * 2/3 + 0.97 * 1/3 = 0.9833

Pr(Coming from line1 l bag is not defective) = 0.99 * 2/3 / (0.99 * 2/3 + 0.97 * 1/3) = 0.6712

Related Questions

Navigate

• Browse (All)
• Browse N
• Subjects

---

---

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