Question 9
A delivery company operates two independent service counters A and B. Let and denote the number of parcels processed by counters A and B in one hour, respectively. The joint probability mass function of and is given as:
To assess workload, the management defines the hourly load index as the maximum number of parcels processed by counters A and B in a given hour. Find the probability that the hourly load index is equal to the number of parcels processed by counter A.
Calculate the value for . Enter the answer correct to one decimal place.