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We toss a coin where heads ( or 'eagle' ) occurs with a probability of p . Each toss takes a time that is a

We toss a coin where heads

(

or 'eagle'

)

occurs with a probability of p

.

Each toss takes a time that is a random variable from an exponential distribution with a parameter of

1 .

Show that the total waiting time for heads is a random variable with an exponential distribution parameterized by p

.

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