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.
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The function appears differentiable when the right and left hand limits are equal
The function appears differentiable at x=-3 because the left and right hand limits are equal.
The function is not differentiable at corner points.
The domain points where function appears differentiable are
X=-3,-1, 1, 2,3,4,5,6
The function is not differentiable at cusp and corner points
In the graph , there is a corner point at x=-2
The slope of the line when it close to the left of x=-2 is negative and the slope of the line when it is close to the right of x=-2 is positive
So, the function is continuous at x=-2 but not differentiable at x=-2
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