Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbs of which 2 are defective, Box 2 has 1 defective and 3 functional bulbs and Box 3 contains 3 defective and 4 functional bulbs. A box is selected at random and a bulb drawn from it at random is found to be defective. Find the probability that the box selected was Box 2. [9 Marks]
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.
Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbs
of which 2 are defective, Box 2 has 1 defective and 3
drawn from it at random is found to be defective. Find the probability that the box
selected was Box 2. [9 Marks]
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