Suppose 10% of the tubes produced by a machine are defective. If a sample of 100 tubes is inspected at random, find the following. a) The expected proportion of defectives in the sample. b) The variance of the proportion of defectives in the sample. c) The approximate distribution of the sample proportion. d) The probability that the proportion of defectives will exceed 0.16.
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.
Suppose 10% of the tubes produced by a machine are defective. If a sample of 100 tubes is inspected at random, find the following.
a) The expected proportion of defectives in the sample.
b) The variance of the proportion of defectives in the sample.
c) The approximate distribution of the sample proportion.
d) The
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