The number of people entering a security check-in lineup in a 15-minute interval at a medium sized airport can be modeled by the following probability model: P(X= x) = -0.5 (20.6) Part (a) What does 20.6 represent in the probability model? Select the most appropriate explanation below. OA. 20.6 is the rate at which people enter the security check-in lineup every 15 minutes. OB. 20.6 represents how much skewed the distribution of values is. x = 0, 1, 2,... C. 20.6 represents the average number of people who enter the a security check-in lineup every 15-minutes. D. 20.6 represents a weighted-average of the number of people who enter the a security check-in lineup every 15-minutes. O E. 20.6 is the standard deviation of the distribution of people entering the security check-in lineup every 15-minutes. Part (b) Compute the probability that 15 people enter the security check-in lineup in a 15-minute interval. Use four decimals in your answer. P(X= 15) Part (c) Compute the probability that at least 4 people will enter the security check-in lineup in a 5-minute interval. Enter answer to four decimals. Part (d) In the past 15-minutes, you have been told that somewhere between 14 and 19 people, inclusive, have entered the security lineup. Compute the probability that this uncertain number is 17. (use four decimals in your answer)
The number of people entering a security check-in lineup in a 15-minute interval at a medium sized airport can be modeled by the following probability model: P(X= x) = -0.5 (20.6) Part (a) What does 20.6 represent in the probability model? Select the most appropriate explanation below. OA. 20.6 is the rate at which people enter the security check-in lineup every 15 minutes. OB. 20.6 represents how much skewed the distribution of values is. x = 0, 1, 2,... C. 20.6 represents the average number of people who enter the a security check-in lineup every 15-minutes. D. 20.6 represents a weighted-average of the number of people who enter the a security check-in lineup every 15-minutes. O E. 20.6 is the standard deviation of the distribution of people entering the security check-in lineup every 15-minutes. Part (b) Compute the probability that 15 people enter the security check-in lineup in a 15-minute interval. Use four decimals in your answer. P(X= 15) Part (c) Compute the probability that at least 4 people will enter the security check-in lineup in a 5-minute interval. Enter answer to four decimals. Part (d) In the past 15-minutes, you have been told that somewhere between 14 and 19 people, inclusive, have entered the security lineup. Compute the probability that this uncertain number is 17. (use four decimals in your answer)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The number of people entering a security check-in lineup in a 15-minute interval at a medium sized airport can be modeled by the following
probability model:
e-30.5 (20.6)*
P(X= x) =
Part (a) What does 20.6 represent in the probability model? Select the most appropriate explanation below.
A. 20.6 is the rate at which people enter the security check-in lineup every 15 minutes.
B. 20.6 represents how much skewed the distribution of values is.
x = 0, 1, 2, ...
C. 20.6 represents the average number of people who enter the a security check-in lineup every 15-minutes.
D. 20.6 represents a weighted-average of the number of people who enter the a security check-in lineup every 15-minutes.
OE. 20.6 is the standard deviation of the distribution of people entering the security check-in lineup every 15-minutes.
P(X= 15) =
Par
Part (b) Compute the probability that 15 people enter the security check-in lineup in a 15-minute interval. Use four decimals in your answer.
1
(use four decimals in your answer)
Part (c) Compute the probability that at least 4 people will enter the security check-in lineup in a 5-minute interval. Enter answer to four
decimals.
Part (d) In the past 15-minutes, you have been told that somewhere between 14 and 19 people, inclusive, have entered the security lineup.
Compute the probability that this uncertain number is 17.
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