Counter processes. Suppose that arrivals at a counter come at times of a Poisson process with rate ?. An arriving particle that finds the counter free gets registered and then locks the counter for an amount of time . Particles that arrive while the counter is locked have no effect. Find the limiting probability the counter is locked at time t. (b) Compute the limiting fraction of particles that get registered.

The rumpart family is building a new room onto their house. the width of the new room will be 16 feet. the length of the room will be 4% greater than the width. write an expression to find the length of the new room. what will be the area of this new room?

How much is $1200 worth at the end of1 year,if the interest rate is 5.5% is compounded quarterly.

The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.chloe needs 0.75 yard of fabric to make a skirt, and she cuts 0.1125 yard.did chloe cut the correct amount of fabric? why or why not? a. chloe cut enough fabric because she cut the amount of fabric for the skirt. b. chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. c. chloe did not cut enough fabric because she only cut the amount of fabric for the skirt. d. chloe did not cut enough fabric because she only cut the amount of extra fabric.