A game consists of first rolling an ordinary 6-sided die once and then tossing an unbiased coin once. The score, which consists of adding the number of spots showing on the die to the number of heads showing on the coin (0 for tail and 1 for head), is a random variable, say X. (a) find the discrete pdf of X. (b) the CDF of X. (c) sketch the graph of CDF.

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7. A game consists of first rolling an ordinary 6-sided die once and then tossing an unbiased coin once.
The score, which consists of adding the number of spots showing on the die to the number of heads
showing on the coin (0 for tail and 1 for head), is a random variable, say X.
(a) find the discrete pdf of X.
(b) the CDF of X.
(c) sketch the graph of CDF.
(d) find P(X > 3).
(e) find the probability that X is an odd integer.
Transcribed Image Text:7. A game consists of first rolling an ordinary 6-sided die once and then tossing an unbiased coin once. The score, which consists of adding the number of spots showing on the die to the number of heads showing on the coin (0 for tail and 1 for head), is a random variable, say X. (a) find the discrete pdf of X. (b) the CDF of X. (c) sketch the graph of CDF. (d) find P(X > 3). (e) find the probability that X is an odd integer.
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