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# 1_ Let â‚¬ be uniformly distributed o (0,1), and let 7 be & Bernoulli random variable with P(n = 1) =1 P(n = 0) = 1/4 independent of â‚¬ _ DefineXt = â...

## Question

###### 1_ Let â‚¬ be uniformly distributed o (0,1), and let 7 be & Bernoulli random variable with P(n = 1) =1 P(n = 0) = 1/4 independent of â‚¬ _ DefineXt = â‚¬ +nt, 0 <t <1.a) Draw two typical trajectories of the random process {Xt = 0 <t<1}. b) For fixed t â‚¬ (0,1], find the distribution of Xt: Find the probability P(the trajectory of Xt; 0 < t < 1, is strictly increasing) _

1_ Let â‚¬ be uniformly distributed o (0,1), and let 7 be & Bernoulli random variable with P(n = 1) =1 P(n = 0) = 1/4 independent of â‚¬ _ Define Xt = â‚¬ +nt, 0 <t <1. a) Draw two typical trajectories of the random process {Xt = 0 <t<1}. b) For fixed t â‚¬ (0,1], find the distribution of Xt: Find the probability P(the trajectory of Xt; 0 < t < 1, is strictly increasing) _

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