# Poisson distribution:

*label*Mathematics

*timer*Asked: Dec 26th, 2018

*account_balance_wallet*$35

**Question description**

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,

π(π₯) = the probability of π₯ candidates arriving in an interval

π = 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.

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