Defects can occur anywhere on the wheel of a car during the manufacturing process. If X is the angle where the defect occurs, measured from a reference line, then X can be modeled as a uniform random variable on the interval from 0 to 360 degrees.
a) What is the probability that the defect is found between 0 and 36 degrees?
The probability is __________
(Round to three decimal places as needed.)
b) What is the probability that the defect is found between 0 and 36 degrees or between 324 and 360 degrees?
The probability is
(Round to three decimal places as needed.) __________
Defects can occur anywhere on the wheel of a car during the manufacturing process. If X...
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, ( 1,2,3) denote the event that the system has a defect of type .Suppose that the following probabilities are true PA,) 0.11 PA2)-0.08 PA) -0.06 P(A, UA2) -0.13 PIA, UA) -0.1 (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.) (b) Given that the system has a type 1...
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 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 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 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 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...
Reserve Problems Chapter 5 Section 5 Problem 4 Four electronic ovens that were dropped during shipment are Inspeced and classified as containing either a major, a minor, or no defect. In the past, 60% of dropped ovens had a major defect, 30% had a minor defect, and 10% had no defect. Assume that the defects on the four ovens occur independently () What is the probability that, of the four dropped ovens, two have a major defect and two have...
A process is making plastic water bottles for bicycles, and four defects can occur in the course of production: missing cap, scratches, flow lines, and excess flash. Data are collected on these defects in hopes that it will reveal opportunities for improvement. The results from the first 25 samples of size n 100 are shown in the accompanying table. Sample Missi"X Cap Scratches Flow Lines Excess Flash 10 12 13 14 15 16 17 19 10 12 12 21 24...
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