Poisson distribution:
candidates arrive at ABC company for job interview at the rate of 3 per hour.
The number of candidates arriving follows a Poisson distribution:
Where,
( ) = the probability of candidates arriving in an interval
= mean number of candidates arriving in an interval
a. Compute the probability of exactly 5 candidates arriving in 6-hour interval of time
b. Compute the probability of at most 2 candidates arriving in 6-hour interval of time
c. Compute the probability of only one candidate arriving in 2-hour interval of time.