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Supplier Proportion 0.22 0.36 0.27 0.15 1.00 Defective Rate 0.04 0.02 0.05 0.03

ID: 3124494 • Letter: S

Question

Supplier Proportion 0.22 0.36 0.27 0.15 1.00 Defective Rate 0.04 0.02 0.05 0.03 Total You may use the following table to do your computations. Keep four decimal digits for your answers. Supplier Proportion Defective Rate Joint Probabilities Revised Probabilities 0.22 0.36 0.27 0.15 1.00 0.04 0.02 0.05 0.03 Total 41. What is the probability that a randomly selected DVD writer is from Supplier A? (2) (A) 0.22 (B) 0.36 (C) 0.27 (D) 0.15 (E) none of the above 42. What is the probability that a randomly selected DVD writer is not from Supplier B? (2) (A) 0.85 (B) 0.73 (C) 0.64 (D) 0.78 (E) none of the above 43. What is the probability that a randomly selected DVD writer is defective? (4) (A) 0.0400 (B) 0.0450 (C)0.0340 (D0.0500 (E) none of the above 44. Indicate if probability in the previous question is a joint, marginal, conditional or total probability. (2) 44. Indicate if probability in the previous question is a joint, marginal, conditional or total probabity. (2) (B) marginal (C)conditional (D)tl (D) total(E) none of the above (A) joint ( (C) conditional 45. What is the probability that a randomly selected DVD writer is not defective? (2) (A) 0.9500 (B) 0.9660 (C)0.0950 (D) 0.9600 (E) none of the above 46. Given a randomly selected DVD writer is defective, what is the probability that it is from Supplier (A) 0.1324 (B) 0.3971 (C) 0.2588 (D) 0.2118 (E) none of the above ion ic a inint mareinal, conditional or total probabili

Explanation / Answer

p

Defective rate

Joint probability

A

0.22

0.04

0.22*0.04=0.0088

B

0.36

0.02

0.36*0.02=0.0072

C

0.27

0.05

0.27*0.05=0.0135

D

0.15

0.03

0.15*0.03=0.0045

Total

1

0.14

0.034

41). A). 0.22

42). C) 0.64 ( 1-0.36=0.64)

43). C) 0.034 ( total of joint probabilities)

44). A). Joint

45). B). 0.966 ( 1-0.034=0.966)

46). D). 0.2118   ( 0.0072/0.034=0.2118)

p

Defective rate

Joint probability

A

0.22

0.04

0.22*0.04=0.0088

B

0.36

0.02

0.36*0.02=0.0072

C

0.27

0.05

0.27*0.05=0.0135

D

0.15

0.03

0.15*0.03=0.0045

Total

1

0.14

0.034

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