Prove this theorem.
the laplace transorm of a piecewise continuous function
f(t)with period p is
l(f) = [1/(1- e^(-ps)]*integral(e^(-st)*f(t)dt from
0to p.

On her way to work, mrs. larsen gets a green light at a certain traffic light only 30% of the time. she wants to find the probability that she will get a green light at this traffic light all five mornings that she travels to work next week. use the following randomly generated list of 200 five-digit numbers to answer the questions and find the probability. select the digits you will use to represent a favorable outcome. how many favorable outcomes are on this list? what are they? given this simulation, what is the probability that mrs. larsen will get a green light at this traffic light all five mornings next week?