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(b) A unit with at least one surface-finish defect is called a defective/nonconforming unit. What is the probability that at least two defective units are found in a random sample of 20? (Use the result of Q(a)(iii).) (i) What probability distribution do you need to use to solve this problem? (ii) Find the probability that a randomly selected unit will contain zero surface-finish defect. (iii) Find the probability that at least two defective units are found in a random sample of 20?

(b) A unit with at least one surface-finish defect is called a defective/nonconforming unit. What is the probability that at least two defective units are found in a random sample of 20? (Use the result of Q(a)(iii).) (i) What probability distribution do you need to use to solve this problem? (ii) Find the probability that a randomly selected unit will contain zero surface-finish defect. (iii) Find the probability that at least two defective units are found in a random sample of 20?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. We are interested in the number of defects in an appliance. A unit with at least one surface-finish defect is called a defective/nonconforming unit. What is the probability that at least two defective units are found in a random sample of 20? I only need help with part B
ii The probability that a Unit will contain at least defect, P(x1) = 1- P(x=0) To calculate the probability P(x=1), we Use poisson probability distribution. randomly selected one surface-finish The probability that a randomly selected whit will contain zero surface - tinigh defect is, P(x=0) = €²0:3 (0.3)0 e-0.3 0! = = [0740818) (111) The probability that selected a randomly unit will contain at least one surface - finish defect is, P(x ≥1) = 1 - P(x=0) = 1 - 0·740818 = 0.259182
Transcribed Image Text:ii The probability that a Unit will contain at least defect, P(x1) = 1- P(x=0) To calculate the probability P(x=1), we Use poisson probability distribution. randomly selected one surface-finish The probability that a randomly selected whit will contain zero surface - tinigh defect is, P(x=0) = €²0:3 (0.3)0 e-0.3 0! = = [0740818) (111) The probability that selected a randomly unit will contain at least one surface - finish defect is, P(x ≥1) = 1 - P(x=0) = 1 - 0·740818 = 0.259182
Q. Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. We are interested in the number of defects in an appliance. (a) Find the probability that a randomly selected unit will contain at least one surface-finish defect. (1) What probability distribution do you need to use to solve this problem? (ii) Find the probability that a randomly selected unit will contain zero surface-finish defect. (iii) Find the probability that a randomly selected unit will contain at least one surface-finish defect. (b) A unit with at least one surface-finish defect is called a defective/nonconforming unit. What is the probability that at least two defective units are found in a random sample of 20? (Use the result of Q(a)(iii).) (i) What probability distribution do you need to use to solve this problem? (ii) Find the probability that a randomly selected unit will contain zero surface-finish defect. (iii) Find the probability that at least two defective units are found in a random sample of 20?
Transcribed Image Text:Q. Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. We are interested in the number of defects in an appliance. (a) Find the probability that a randomly selected unit will contain at least one surface-finish defect. (1) What probability distribution do you need to use to solve this problem? (ii) Find the probability that a randomly selected unit will contain zero surface-finish defect. (iii) Find the probability that a randomly selected unit will contain at least one surface-finish defect. (b) A unit with at least one surface-finish defect is called a defective/nonconforming unit. What is the probability that at least two defective units are found in a random sample of 20? (Use the result of Q(a)(iii).) (i) What probability distribution do you need to use to solve this problem? (ii) Find the probability that a randomly selected unit will contain zero surface-finish defect. (iii) Find the probability that at least two defective units are found in a random sample of 20?
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