2) Suppose N(t) is a Poisson process with rate 5. Each occurence during the process is a type-1 occurrence with probability 25 and a type-2 occurrence with probability .75. Let X(t) be the number of...

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Extracted text: 2) Suppose N(t) is a Poisson process with rate 5. Each occurence during the process is a type-1 occurrence with probability 25 and a type-2 occurrence with probability .75. Let X(t) be the number of type-1 occurrences in an interval of length t. Find P(X(1)>4).