It is known that 10% of all the items produced by a particular manufacturing process are defective. From the very large output of a single day, 400 items are selected at random.a. What is the probability that at least 35 of the selected items are defective?b. What is the probability that between 40 and 50 of the selected items are defective? c. What is the probability that between 34 and 48 of the selected items are defective? d. Without doing the calculations, state which of the following ranges of defectives has the highest probability: 38–39, 40–41, 42–43, 44–45, or 46–47.
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.
It is known that 10% of all the items produced by a particular manufacturing process are defective. From the very large output of a single day, 400 items are selected at random.
a. What is the
b. What is the probability that between 40 and 50 of the selected items are defective?
c. What is the probability that between 34 and 48 of the selected items are defective?
d. Without doing the calculations, state which of the following ranges of defectives has the highest probability: 38–39, 40–41, 42–43, 44–45, or 46–47.
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