2. A bucket has three marbles. Two are black and one is white. You keep drawing until you get a while marble. Every time you draw a black marble you put it back into the bucket and also add a new white marble to the bucket. The random variable X denotes the total number of marbles you have drawn from the bucket. A. Find P(X = k) as a function of k. B. Compute E(X).

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A:

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.