Question

As O’hare is working on its expansion and remodel, suppose that it is concerned with how many passengers go through security at a particular security line in Terminal B. If they determine that passengers arrive randomly and independently at the screening line with an average of 10 per minute, then…

Question 16 What distribution most appropriately models this situation?

1. Standard Normal
2. Poisson
3. Discrete Uniform
4. Hypergeometric

Question 17 what is the probability of no arrivals in a one-minute period?

1. 0.00%
2. 36.53%
3. 43.39%
4. 1.15%

Question 18 What is the probability of no arrivals in a thirty-second period?

1. 24.72%
2. 6.95%
3. 72.51%
4. 0.67%

Question 19 Suppose the probability we calculated for the previous question (Question 18) were 30%. Compute the probability of at least one arrival in a thirty second period given this result.

1. 15%
2. 30%
3. 60%
4. 70%

Answer 1

Solution - da lo peominute (16) B] Poisson - x 217) P(x) = ex" » P/x=0) = é 0.0000 45 [0.00 Ty. (A) 6.00 A = 10 x 30 = 5 per 30- second Plas) : 09 13; PH21)= 1 - P(x=0) 6.67 0.67 O! { viven Given 30) e - 1 0.30 = 0.70