Dr. tarun gupta, a michigan vet, is running a rabies vaccination clinic for dogs at the local grade school. tarun can shoot a dog every 4 minutes. it is estimated that the dogs will arrive independently and randomly throughout the day at a rate of one dog every 5 minutes according to a poisson distribution. also assume that taruna's shooting times are exponentially distributed.

compute the following:

a) the probability that tarun is idle.

b) the proportion of the time that tarun is busy.

c) the average number of dogs being vaccinated and waiting to be vaccinated.

d) the average number of dogs waiting to be vaccinated.

e) the average time a dog waits before getting vaccinated.

f) the average amount of time a dog spends waiting in line and being vaccinated.

As manager of kids skids, meghan wants to develop her relationship management skills. in order to do this, she learns how to

Which statement below best describes george waring's approach to solving the problems of water-borne illness? a. waring is going with his "gut," because he believes that instincts and emotions are the best guides for action. b. waring efficiently and thoroughly lays out the case for why the problems are too large and overwhelming to be solved: people should just move out of cities back to their farms. c. waring has gathered the testimonies of people who live in densely populated areas in order to learn how they themselves have solved their problems. d. waring exhibits the industrial age's increased respect for and reliance on science and the scientific method.

Suppose that jim plans to borrow money for an education at texas a& m university. jim will need to borrow $25,000 at the end of each year for the next five years (total=$125,000). jim wishes his parents could pay for his education but they can’t. at least, he qualifies for government loans with a reduced interest rate while he is in school. he has a special arrangement with aggiebank to lend him the money at a subsidized rate of 1% over five years without having to make a payment until the end of the fifth year. however, at the end of the fifth year, jim agrees to pay off the loan by borrowing from longhorn bank. longhorn bank will lend him the money he needs at an annual interest rate of 6%. jim agrees to pay back the longhorn bank with 20 annual payments and the payments will be uniform (equal annual payments including principal and interest). (i) calculate how much money jim has to borrow at the end of 5 years to pay off the loan with aggiebank. a. $121,336 b. $127,525 c. $125,000 d. $102,020 e. none of the above