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1. Consider flipping a fair coin three times and observe whether it lands heads up or...

1. Consider flipping a fair coin three times and observe whether it lands heads up or tails up. Let X the number of switches from either head to tail or vice versa. For example, when THT is observed, the number of switches is 2 and when HHH is observed, the number of switches is 0. Also, let Y be the number of tails shown in the three times of fipping. (a) List all the values of the joint probability mass function p(x,y) = P(X = x,Y = y).

1. Consider flipping a fair coin three times and observe whether it lands heads up or tails up. Let X the number of switches from either head to tail or vice versa. For example, when THT is observed, the number of switches is 2 and when HHH is observed, the number of switches is 0. Also, let Y be the number of tails shown in the three times of fipping. (a) List all the values of the joint probability mass function p(x,y) = P(X = x,Y = y).
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a) If a fair coin is flipped 3 Hme s men rh e horal, number of elemenary evenrs 13 3 The sample space is HHH, HHT, 14TH, TH1Heme HTT is Obsemv ed, obo served. Again, y.. owhen HHH İs observed . , 71, when eiher HHT, HTH y- 2, when eiher HTT,THT Y3, wㄒㄒㄒ THH Nove rhah prroba bi uihy of an event A is P(A)A whe ye nCA) is the numbe of elementamy evenrs favourvble ro A and n i

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