Between 1951 and 2000, there were 295 hurricanes in the Atlantic Ocean. Assume thatthe numbers of hurricanes in different years can be accurately modeled as i.i.d. randomvariables having a Poisson distribution with mean λ. Find a 90 percent confidence intervalfor λ.9. Let X1, . . . , Xn be a random sample from the pdf fX(x; θ) = (θ + 1)xθfor 0 < x < 1, andfX(x; θ) = 0 otherwise, where θ > -1. Recall that in Problem 8 of Homework 2, you foundthat the MLE for θ is given byˆθ = -1 +nPni=1 log Xi
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