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- Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?T has an exponential distribution such that P(T≤2)=2P(T>4) What is Var(T)=?TF.12 The joint pdf of the lifetimes X and Y in years of two batteries working in parallel is (see picture) a) Find the probability P(Y ≤ 0.5). b) Find the expected values E(X) and E(XY).
- Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth.RMS =Suppose that the distribution of the lifespan of an item has the hazard rate function λ(t) = t3. What is the probability that: (a) the item survives to age 2? (b) a 1-year-old item will survive to age 2?The time X of a radioactive isotope decays with an expected value of 10 years, and is modeled as an exponential random variable. a) What is the parameter λ of the exponential RV X? b) Compute P(X < 10).
