For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x: 3,5,7
y: 6,10,14
a. yes; y=2x
b. no
c. yes; y- 1/2 x
d. yes; y=x+3

option a yes, y=2x

Step-by-step explanation:

3*2=6

5*2=10

7*2=14

A municipal bus system, when operating perfectly on time, provide at any given bus stop every 30 min. A person arrive at a random time at bus stop. What is the average waiting time until the next bus arrives?

The Answer

Since buses are following uniform distribution the average waiting time will be 15 min.

Question two

If the busses become totally disorganized and random following Poisson random process what will be the average waiting time given that number of buses remains content

I know the answer is 1/lambda, but how to find the lambda, is it still 15 min since the same number of busses are running. Can someone explain this to me!!!

Step-by-step explanation: