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.

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Chapter1: Combinatorial Analysis
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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.
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.
(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 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. (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 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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