Help with statistics homework
Statistics

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Airline passenger arrive randomly and independently at the passengerscreening facility at a major international airport. The mean arrival rate is 7 passengers per minute.
a) compute the probability of no arrivals in a one minute period (to 6 decimals
b)compute the probability that three or fewer passengers arrive in a one minute period (to 4 decimals
c)compute the probability of no arrivals in a15 second period(to 4 decimals
d)compute the probability of at least one arrival in a 15 second period (4
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Airline passenger arrive randomly and independently at the passengerscreening facility at a major international airport. The mean arrival rate is 7 passengers per minute.
a) compute the probability of no arrivals in a one minute period (to 6 decimals
0/7= Infinite
b)compute the probability that three or fewer passengers arrive in a one minute period (to 4 decimals
P3 or P2 or P1 =3/7+2/7+1/7 =
c)compute the probability of no arrivals in a15 second period(to 4 decimals
15/60 =0.2500
d)compute the probability of at least one arrival in a 15 second period (4
let probability of atleast one be x, Px =1/7+
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Airline passenger arrive randomly and independently at the passengerscreening facility at a major international airport. The mean arrival rate is 7 passengers per minute.
a) compute the probability of no arrivals in a one minute period (to 6 decimals
0/7= 0.000000
b)compute the probability that three or fewer passengers arrive in a one minute period (to 4 decimals
P3 or P2 or P1 =3/7+2/7+1/7 = 6/7=0.8571
c)compute the probability of no arrivals in a15 second period(to 4 decimals
15/60 =0.2500 i.e not dependent on mean arrival
d)compute the probability of at least one arrival in a 15 second period (4
let probability of atleast one be x, Px =1/7+2/7+3/7+4/7+5/7+6/7+7/7= 28/7=4in 15 seconds = 1/4*4 =1.0000
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