Q1. (10 points.) Suppose that 10% of inmates in a large prison are known to be innocent. (a) (5 points.) A non-profit group randomly selects 20 inmates from this prison. Find the probability the group will find at most 4 innocent inmates. (b) (5 points.) If the non-profit group randomly selects the inmates until they find 4 innocent inmates, what is the probability that they selects less than 20 inmates in this process

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)