please solve with work shown

it is full are denied access; no waiting is allowed. Access requests follow a Poisson probability distribution, with a mean of 38 calls per hour. The service rate per line is 23 calls per hour. (a) What is the probability that 0,1,2, and 3 access lines will be in use? (Round your answers to four decimal places.) P(0)=1P(1)=P(2)=P(3)= (b) What is the probability that an agent will be denied access to the system? (Round your answers to four decimal places.) Pk= (c) What is the average number of access lines in use? (Round your answers to two decimal places.) than the value computed in part (b). How many access lines should this system have