Question

Hey guys, I have a question about finding a CDF. Wordy question but I dont think it should take to long. Any guidance would be appreciated.

Answer 1

Suppose we have a miniload system with a rack 40 meters long and 20
meters high. There are two motors. One motor moves the s/r machine
horizontally at 2 meters per second, while the other motor moves it verti-
cally at 1 meter per second. The two motors can operate simultaneously
so the time T from the origin to a random location (X,Y) is whichever time
is longer of the time to move horizontally and to move vertically. Assume
that 25% of the items cause 90% of the activity and the most active 90%
are stored randomly in the lower left quarter of the rack.

Answer 2

the travel time, T, is some function g(X,Y). what is g(X,Y)? i got T = max(X/2,Y). then the part im stuck on says to find the C.D.F of T

Answer 3

well specifically says "Find F_T_(X) so i think it wants the answer bounded in terms of x?

Answer 4

'so the time T from the origin to a random location (X,Y) is whichever time
is longer of the time to move horizontally and to move vertically' <- I don't really get this part, can you rephrase it?

Answer 5

ya let me draw it it will make more sense