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An unbiased die is tossed once. If the face of the die is and odd number, then an unbiased coin is tossed once. If

An unbiased die is tossed once. If the face of the die is and odd number, then an unbiased coin is tossed once. If the face of the die is an even number, then the coin is tossed twice. Let the random variable Y denote the number of heads obtained. (a) Determine the probability mass function (pmf) of Y. (b) Sketch the cumulative distribution function of Y.

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