We have a bowl with 1000 Christmas nuts, some of which are rotten. The dish contains 500 hazelnuts, 300 Brazil nuts and 200 walnuts. For a hazelnut the probability is 0.1 that it is rotten, for a Brazil nut the probability is 0.2 and a walnut is the route with a probability of 0.3. Let A denote the event that a random choice is the route. Calculate (a) the probability P (A) (b) the conditional probability P (Brazil nut | A)
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.
Let A denote the
(a) the probability P (A)
(b) the conditional probability P (Brazil nut | A)
It is given a bowl 1000 Christmas (n), the dish contains 500 hazelnuts (h), 300 brazil nuts (b), and 200 walnuts (w).
For rotten, the given probabilities are:
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