certain electronic component manufacturing process produces parts, 20% of which are defective. Parts are shipped in units of 400. Shipments containing more than 90 defective parts may be returned. You may assume that each shipment constitutes a simple random sample of parts. a. What is the probability that a given shipment will be returned? b. On a particular day, 500 shipments are made. What is the probability that 60 or more of these shipments are returned? c. A new manufacturing process is introduced that is supposed to reduce the percentage of defective parts. The goal of the company is to reduce the probability that a shipment is returned to 0.01. What must be percentage of defective parts be in order to reach this goal?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A certain electronic component manufacturing process produces parts, 20% of which
are defective. Parts are shipped in units of 400. Shipments containing more than 90 defective parts
may be returned. You may assume that each shipment constitutes a simple random sample of parts.
a. What is the
b. On a particular day, 500 shipments are made. What is the probability that 60 or more of
these shipments are returned?
c. A new manufacturing process is introduced that is supposed to reduce the percentage of
defective parts. The goal of the company is to reduce the probability that a shipment is
returned to 0.01. What must be percentage of defective parts be in order to reach this goal?
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