Question: Use R programming for the following problem: .Suppose B (t)is a Brownian motion. Determine the probability P (B (12) + t3 (1) 5 l) as

Use R programming for the following problem:

.Suppose B (t)is a Brownian motion. Determine the probability P (B (12) + t3 (1) 5 l) as a function of t and plot the probability as a function of I 6 [0,2], (3) by doing a direct calculation [Hint2 Considert = 1 separately]. (b) by using a simulation and estimation

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