In the manufacturing of a certain article, two types of defects are noted that occur with...

Question

Question

In the manufacturing of a certain article, two types of defects are noted that occur with...

In the manufacturing of a certain article, two types of defects are noted that occur with probabilities 0.02, and 0.05, respectively. If these two defects occur independently of one another what is the probability that an article is free of both kinds of defects?

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

The tuo typer of defectカaoYoted thar occur uuth PYobobutter a o.oa, 6.oç าa fect?vely. of dlefocta? →$0t the fvobab(Lrty RA Andh9 to1ha fo.nuo 1x $4 you need tha P.(Ang) Vouo - 0 062

Add a comment

Answer 2

Similar Homework Help Questions

In the manufacturing of a certain article, two types of defects are noted that occur with...

In the manufacturing of a certain article, two types of defects are noted that occur with probabilities 0.02, and 0.05, respectively. If these two defects occur independently of one another what is the probability that an article is free of both kinds of defects?
A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote...

A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A1) = 0.19 P(A2) = 0.14 P(A3) = 0.13 P(A1 UAZ) = 0.27 P(A1 UA3) = 0.27 P(A2 U A3) = 0.22 P(A1 A2 A3) = 0.02 D 0.22 (a) What is the probability that the system does not have a type 1 defect? (b) What...
A quality controller finds three types of defects with a particular product. He experiences each type of defects wi...

A quality controller finds three types of defects with a particular product. He experiences each type of defects with 7%, 8 % , and 9 % respectively. By his experience he finds that both first and second types of defects occur 3 % , second and third types of defects occur 4 % , and first and third types of defects occur 2 %. In addition, the quality controller finds that all the three types of defects occurl%. Using these...

A certain system can experience three different types of defects. Let A, (i 1,2,3) denote the...

A certain system can experience three different types of defects. Let A, (i 1,2,3) denote the event that the system has a defect of type i Suppose that the following probabilities are true. PLA,)-0.11 RA2)-0.07 pA,)-0.05 P(A, UA2)0.12 P(A, UA3) -0.13 P(A2 U A3) 0.10 PA, A A3)0.01 (a) Given that the system has a type 1 defect, what is the probability that it has a type 2 defect? (Round your answer to four decimal places.) 9300 (b) Given that...
A certain system can experience three different types of defects. Let A, (i-1,2,3) denote the event...

A certain system can experience three different types of defects. Let A, (i-1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true PA)-0.12 P(A2)-0.08 P(As)-0.05 (a) Given that the system has a type 1 defect, what is the probabilty that it has a type 2 defect? (Round your answer to four decimal places.) (b) Given that the system has a type 1 defect, what is the probability that it has...
A certain system can experience three different types of defects. Let A; (i - 1,2,3) denote...

A certain system can experience three different types of defects. Let A; (i - 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true P(A1) = 0.12 P(A2)-0.08 P(As) = 0.05 P(A1 U A2) 0.14 P(A U As)-0.14 P(A2 U As) = 0.11 P(A1 n A2 n As) = 0.01 (a) Given that the system has a type 1 defect, what is the probability that it has a type 2...

A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote...

A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A1) = 0.11 P(A2) = 0.08 P(A3) = 0.05 P(A1 U A2) = 0.13 = 0.13 P(A2 U A3) = 0.11 P(An Azn Az) = 0.01 P(A1 UA3) (a) Given that the system has a type 1 defect, what is the probability that it has a...
A certain system can experience three different types of defects. Let A, (i-1,2,3) denote the event...

A certain system can experience three different types of defects. Let A, (i-1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true p(A1) = 0.12 p(%) = 0.08 p(A1) = 0.05 p(A1 UA2)-0.14 P(A1 u A3)-0.14 PA2 UAs)-0.11 P(A1 n A2 n A3)-0.01 (a) Given that the system has a type 1 defect, what is the probability that it has a type 2 defect? (Round your answer to four decimal...
A certain system can experience three different types of defects. Let A, i1,2,3) denote the event...

A certain system can experience three different types of defects. Let A, i1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. p(A1)-0. 10 P(A2)-0.08 P(As)-0.06 (a) Given that the system has a type 1 defect, what is the probabilty that it has a type 2 defect? (Round your answer to four decimal places.) (b) Given that the system has a type 1 defect, what is the probability that it...

A certain system can experience three different types of defects. Let A (i1, 2, 3) denote...

A certain system can experience three different types of defects. Let A (i1, 2, 3) denote the event that the system has a defect oftype i. Suppose that: P(A)-0.12; P(A2)-0.07; P(A3)-0.05 a. b. c. d. What is the probability that they system does not have a type 1 defect? What is the probability that the system has both type 1 and type 2 defects? What is the probability that the system has both type 1 and type 2 defects but...

In the manufacturing of a certain article, two types of defects are noted that occur with...

Homework Answers