In 1984, a school bus cost $20,000. To answer each of the parts below, assume that the consumer price index (CPI) was 36.8 in 1970, 100 in 1984, and 140.7 in 1992. 1. If the price of a school bus increased at the same rate as the CPI from 1970 to 1984, how much did a school bus cost in 1970? By how much did the price of a school bus increase from 1970 to 1984?

2.If the price of a school bus increased at the same rate as the CPI from 1984 to 1992, how much did a school bus cost in 1992? By how much did the price of a school bus increase from 1984 to 1992?

3. If a school bus cost $4100 in 1950, and if the price of a school bus increased at the same rate as the CPI from 1950 to 1984, what was the CPI to the nearest tenth in 1950?

When booking personal travel by air, one is always interested in actually arriving at one’s final destination even if that arrival is a bit late. the key variables we can typically try to control are the number of flight connections we have to make in route, and the amount of layover time we allow in those airports whenever we must make a connection. the key variables we have less control over are whether any particular flight will arrive at its destination late and, if late, how many minutes late it will be. for this assignment, the following necessarily-simplified assumptions describe our system of interest: the number of connections in route is a random variable with a poisson distribution, with an expected value of 1. the number of minutes of layover time allowed for each connection is based on a random variable with a poisson distribution (expected value 2) such that the allowed layover time is 15*(x+1). the probability that any particular flight segment will arrive late is a binomial distribution, with the probability of being late of 50%. if a flight arrives late, the number of minutes it is late is based on a random variable with an exponential distribution (lamda = .45) such that the minutes late (always rounded up to 10-minute values) is 10*(x+1). what is the probability of arriving at one’s final destination without having missed a connection? use excel.