Suppose the number of claims filed by an insured in a week follows the Poisson distribution with mean 2. The number of claims filed by each insured in a week is independent of that by other insureds. There are 5000 insureds. Determine the coefficient of variation of the total number of claims filed by the 5000 insureds in a week.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)