1.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Airline passengers arrive randomly and independently at the passenger-screening facilityat a major international airport. The mean arrival rate is 10 passengers per minute.a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Compute the probability of no arrivals in a one-minute period.b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Compute the probability that three or fewer passengers arrive in a one-minute period.c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Compute the probability of no arrivals in a 15-second period.d)&nbsp;&nbsp;&nbsp;&nbsp; Compute the probability of at least one arrival in a 15-second period.

Question

1.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Airline passengers arrive randomly and independently at the passenger-screening facilityat a major international airport. The mean arrival rate is 10 passengers per minute.a)&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Compute the probability of no arrivals in a one-minute period.b)&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Compute the probability that three or fewer passengers arrive in a one-minute period.c)&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Compute the probability of no arrivals in a 15-second period.d)&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Compute the probability of at least one arrival in a 15-second period.