A coin is biased so that the probability of obtaining a head is 0.6. The random variable

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A coin is biased so that the probability of obtaining a head is 0.6. The random variable X is the number of tosses up to and including the first head. Find

(a) PIX <4),

(b) P(X>5),

(c) the most likely number of tosses until a head is obtained,

(d) the expected number of tosses until a head is obtained,

(e) the expected number of tosses until a tail is obtained.

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