Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. the mean arrival rate is 9 passengers per minute. what is the probability of no arrivals in a 1-minute period? if required, round your answer to six decimal places. 000123 what is the probability of 3 or fewer arrivals in a 1-minute period? if required, round your answer to six decimal places. 021226 what is the probability of no arrivals in a 16-second period? if required, round your answer to four decimal places. 0907 what is the probability of at least 1 arrival in a 16-second period? if required, round your answer to four decimal places. 3084

Answer with Step-by-step explanation:

Since the random arrival of passengers follow Poission's distribution

The probability that 'n' passengers arrive in 't' time with average arrival rate 'q' is given by

Given q  = 9 passengers per minute

Part a)

The probability that no passenger arrives in 1 minute equals

Part b)

The probability of lesser than 3 arrivals occur equals the sum of probabilities of

1) No arrival

2) Exactly 1 arrival

3) Exactly 2 arrivals

4) Exactly 3 arrivals

Part c)

Probability of at least 1 arrival in 16 seconds euals

P(1,16/60)

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.