answer all 3 questions with explanation

0.4 Air quality is monitored at various locations and times on a particular open-plan office floor. Con- centrations (i.e. numbers of particles mm'a) of two types of airborne particles. i.e. fine (1 pm)and ultrafine {0.1 pm) particulates (denoted FF and UP, respectively). are measured at different locations and times. It is concluded that the average concentration is 9.5 mm'3 for FF. and 8.6 mm'3 for UP. Stating any assumptions that you make. address each of the following: (3) Evaluate the probability that the total concentration of both types of particle (i.e. together) is outside the standard interval. [30 %] (b) The concentration of either type of particle is considered safe if it is no greater than 12 mm'3. What is the probability that an unsafe concentration of at least one type of particle is measured on this ofce floor? [so 94.] (c) If the measured total concentration is 19 particles mm'3. what is the probability that the majority are of type UP? [40 %l