If the particle in the box is in the second excited state (i. e., n=3), what is the probability p that it is between x=l/3 and x=l? to find this probability, you will need to evaluate the integral ∫ll/3(2l−−√sin(nπxl))2dx=2l∫ll/3sin 2(nπxl)dx. express your answer as a number between 0 and 1 to three significant figures.

Aprobability experiment is conducted in which the sample space of the experiment is s={7,8,9,10,11,12,13,14,15,16,17,18}, event f={7,8,9,10,11,12}, and event g={11,12,13,14}. assume that each outcome is equally likely. list the outcomes in f or g. find p(f or g) by counting the number of outcomes in f or g. determine p(f or g) using the general addition rule.