Letnbsptcnbspbe the first-passage time to the origin for a, Basic Statistics

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Letnbsptcnbspbe the first-passage time to the origin for a

Let T_c be the first-passage time to the origin for a standard Brownian motion starting from c > 0. We define S - l/T_c.

(a) Calculate the probability density function of S. What is the distribution of the random variable S?

(b) Find a number b (in terms of the constant c) for which we have P[S ≤ b] = 0.5.

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Basic Statistics: Letnbsptcnbspbe the first-passage time to the origin for a

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Basic Statistics: Letnbsptcnbspbe the first-passage time to the origin for a

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