(а) Prоve thаt, cоnditiоnаl upon the fact that exactly one event occurs in a Poisson process by time s, the time T that the event occurs has a uniform distribution. (b) Suppose busses arrive at a bus stop according to a Poisson process with rate 4 busses per hour. Determine the probability that 5 busses arrive between 1:00 pm and 3:00 pm, with 3 of the busses arriving between 1:00 pm and 2:15 pm. Determine the probability that 5 busses arrives at the bus stop within 100 minutes (you may express your answer in the form of an integral.)
The lаw оf the cоnservаtiоn of energy stаtes that energy cannot be created nor destroyed. It is converted from one form to another. Energy from sunlight is utilized in photosynthesis to create chemical energy. This conversion is not 100% though. Most of the light energy is lost as what type of energy? (Hint: this is energy in its least useful form and is created from the random movement of molecules)