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Probability

Question

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A die (fair) is tossed once. If the random variable is “getting an even number” (denoted by Y), find the probability distribution of Y.

Solution

We know that whenever a die is tossed, either we get an even number or we do not get an even number.

therefore space space straight Y space takes space the space value space 1 space space or space 0. space space space space space space straight P left parenthesis straight Y space equals space 0 right parenthesis space equals space straight P left parenthesis 1 comma space 3 space or space 5 right parenthesis space equals 1 half space space space space space space straight P left parenthesis straight Y space equals 1 right parenthesis space equals space straight P left parenthesis 2 comma space 4 comma space 6 right parenthesis space equals space space 1 half comma space space which space is space the space required space probability space distribution space of space straight Y.

In the form of table it is

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