A particle counter records two types of particles, Type 1 and Type2. Type 1 part

Question

A particle counter records two types of particles, Type 1 and Type2. Type 1 particles arrive at an average of 1 per minute and Type 2particles arrive at an average rate of 2 per minute. Assume thatthese are two independent Poisson processes. a. Find the probability that three Type 1 particles and fourType 2 particles arrive in a 2-minute period. b. Find the probability that the total number of particles ofeither type in a two-minute period is five. c. Find the probability that the fourth particle arrives inthe first 5 minutes a. Find the probability that three Type 1 particles and fourType 2 particles arrive in a 2-minute period. b. Find the probability that the total number of particles ofeither type in a two-minute period is five. c. Find the probability that the fourth particle arrives inthe first 5 minutes

Explanation / Answer

a poisson = 1, x=3 ans p(3,1)=.0613    poisson =2, x=4 ans p(4,2)=.0902 b total number x=5 , since independent =1+2=3 ansp(5,3)=..1008 c I assume 4th particle is of either type as in b, I do notsee what the first 5 minute period adds, 5 minute is enough     x=4 , =3*2.5= 7.5, p(4,7.5)= .0729 from mytables

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