(more brownian motion gymnastics) let (bt)t≥0 be a standard brownian motion and fix 0 < t1 < t2.

(a) compute e e −b2 t1 .
(b) compute e[|bt1 |].
(c) compute the joint density fbt1 ,bt2 (x, y).
(d) compute the conditional density fbt2 |bt1 (y | x).
what distribution does it correspond to? (e) compute the conditional density fbt1 |bt2 (x | y). what distribution does it correspond to?

14

step-by-step explanation:

14 x 3 = 42

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v