The Transportation Security Administration (TSA) collects data on wait time at each of its airport security checkpoints. For flights departing from Terminal 3 at John F. Kennedy International Airport (JFK) between 3:00 and 4:00 PM on Wednesday, the mean wait time is 12 minutes, and the maximum wait time is 16 minutes. [Source: Transportation Security Administration, summary statistics based on historical data collected between February 18, 2008, and March 17, 2008.] Assume that x, the wait time at the Terminal 3 checkpoint at JFK for flights departing between 3:00 and 4:00 PM on Wednesday, is uniformly distributed between 8 and 16 minutes. Use the Distributions tool to help you answer the questions that follow. Standard Normal Mean = 0.0 Standard Deviation = 1.0 ^ ^ ^ ^ ^ -5 -3 -1 1 3 5 Z The height of the graph of the probability density function f(x) varies with X as follows (round to four decimal places): The height of the graph of the probability density function f(x) varies with X as follows (round to four decimal places): X < 8 8 ≤ X ≤ 16 X > 16 Height of the Graph of the Probability Density Function You are flying out of Terminal 3 at JFK on a Wednesday afternoon between 3:00 and 4:00 PM. You get stuck in a traffic jam on the way to the airport, and if it takes you longer than 12 minutes to clear security, you'll miss your flight. The probability that you'll miss your flight is You have arrived at the airport and have been waiting 10 minutes at the security checkpoint. Recall that if you spend more than 12 minutes clearing security, you will miss your flight. Now what is the probability that you'll miss your flight? ○ 0.5 O 0.25 ○ 0.8333 ○ 0.6667
The Transportation Security Administration (TSA) collects data on wait time at each of its airport security checkpoints. For flights departing from Terminal 3 at John F. Kennedy International Airport (JFK) between 3:00 and 4:00 PM on Wednesday, the mean wait time is 12 minutes, and the maximum wait time is 16 minutes. [Source: Transportation Security Administration, summary statistics based on historical data collected between February 18, 2008, and March 17, 2008.] Assume that x, the wait time at the Terminal 3 checkpoint at JFK for flights departing between 3:00 and 4:00 PM on Wednesday, is uniformly distributed between 8 and 16 minutes. Use the Distributions tool to help you answer the questions that follow. Standard Normal Mean = 0.0 Standard Deviation = 1.0 ^ ^ ^ ^ ^ -5 -3 -1 1 3 5 Z The height of the graph of the probability density function f(x) varies with X as follows (round to four decimal places): The height of the graph of the probability density function f(x) varies with X as follows (round to four decimal places): X < 8 8 ≤ X ≤ 16 X > 16 Height of the Graph of the Probability Density Function You are flying out of Terminal 3 at JFK on a Wednesday afternoon between 3:00 and 4:00 PM. You get stuck in a traffic jam on the way to the airport, and if it takes you longer than 12 minutes to clear security, you'll miss your flight. The probability that you'll miss your flight is You have arrived at the airport and have been waiting 10 minutes at the security checkpoint. Recall that if you spend more than 12 minutes clearing security, you will miss your flight. Now what is the probability that you'll miss your flight? ○ 0.5 O 0.25 ○ 0.8333 ○ 0.6667
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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![The Transportation Security Administration (TSA) collects data on wait time at each of its airport security checkpoints. For flights departing from
Terminal 3 at John F. Kennedy International Airport (JFK) between 3:00 and 4:00 PM on Wednesday, the mean wait time is 12 minutes, and the
maximum wait time is 16 minutes. [Source: Transportation Security Administration, summary statistics based on historical data collected between
February 18, 2008, and March 17, 2008.]
Assume that x, the wait time at the Terminal 3 checkpoint at JFK for flights departing between 3:00 and 4:00 PM on Wednesday, is uniformly
distributed between 8 and 16 minutes.
Use the Distributions tool to help you answer the questions that follow.
Standard Normal
Mean = 0.0
Standard Deviation = 1.0
^ ^ ^ ^ ^
-5
-3
-1
1
3
5
Z
The height of the graph of the probability density function f(x) varies with X as follows (round to four decimal places):](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c4e66e6-61a1-4fc8-a71a-f2e99d797eec%2Ff5063ac2-ab9c-44a6-bab4-30ea0ee20c2b%2F58qvmgg_processed.png&w=3840&q=75)
Transcribed Image Text:The Transportation Security Administration (TSA) collects data on wait time at each of its airport security checkpoints. For flights departing from
Terminal 3 at John F. Kennedy International Airport (JFK) between 3:00 and 4:00 PM on Wednesday, the mean wait time is 12 minutes, and the
maximum wait time is 16 minutes. [Source: Transportation Security Administration, summary statistics based on historical data collected between
February 18, 2008, and March 17, 2008.]
Assume that x, the wait time at the Terminal 3 checkpoint at JFK for flights departing between 3:00 and 4:00 PM on Wednesday, is uniformly
distributed between 8 and 16 minutes.
Use the Distributions tool to help you answer the questions that follow.
Standard Normal
Mean = 0.0
Standard Deviation = 1.0
^ ^ ^ ^ ^
-5
-3
-1
1
3
5
Z
The height of the graph of the probability density function f(x) varies with X as follows (round to four decimal places):
Transcribed Image Text:The height of the graph of the probability density function f(x) varies with X as follows (round to four decimal places):
X < 8
8 ≤ X ≤ 16
X > 16
Height of the Graph of the Probability Density Function
You are flying out of Terminal 3 at JFK on a Wednesday afternoon between 3:00 and 4:00 PM. You get stuck in a traffic jam on the way to the airport,
and if it takes you longer than 12 minutes to clear security, you'll miss your flight. The probability that you'll miss your flight is
You have arrived at the airport and have been waiting 10 minutes at the security checkpoint. Recall that if you spend more than 12 minutes clearing
security, you will miss your flight. Now what is the probability that you'll miss your flight?
○ 0.5
O 0.25
○ 0.8333
○ 0.6667
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