The time to check in a guest at a New York City hotel follows the exponential distribution and has a mean of seven minutes. What is the probability of a registration time shorter than five minutes? 0.05260.0699 0.51050.6321
Added by Jose Luis M.
Step 1
Step 1: For an exponential distribution with mean Ī¼ = 7 minutes, the rate is Ī» = 1/Ī¼ = 1/7 per minute. Show moreā¦
Show all steps
Close
Your feedback will help us improve your experience
Kari Hasz and 77 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The time required to pass through security screening at the airport can vary. According to The Cincinnati Enquirer, it can take minutes (February 2206). Assume the mean wait time during peak periods at Cincinnati (Northern Kentucky International Airport) to pass through security screening follows an exponential distribution. What is the probability that it will take exactly 25 minutes to pass through security? (Round your answer to three decimal places.) What is the probability that it will take less than 15 minutes to pass through security screening during the peak period? (Round your answer to three decimal places.) What is the probability that it will take more than 30 minutes to pass through security screening during the peak period? (Round your answer to three decimal places.) What is the probability that it will take between 15 and 30 minutes to pass through security screening during the peak period? (Round your answer to three decimal places.) It is 8:00 am (peak period) and you just entered the security line. To catch your plane, you must be at the gate within 30 minutes. What is the probability that you will miss your flight? (Round your answer to three decimal places. It takes 19 minutes from the time you clear security until you reach your gate.)
Kari H.
The time required to pass through security screening at the airport can be annoying to travelers. The mean wait time during peak periods at Cincinnati/Northern Kentucky International Airport is 12.1 minutes (The Cincinnati Enquirer, February 2, 2206). Assume the time to pass through security screening follows an exponential distribution. (a) What is the probability you will make it through security in exactly 34 minutes? (Round your answer to three decimal places.) (b) What is the probability it will take less than 15 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) (c) What is the probability it will take more than 30 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) (d) What is the probability it will take between 15 and 30 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) (e) It is 8:00 am (a peak period) and you just entered the security line. To catch your plane, you must be at the gate within 30 minutes. If it takes 14 minutes from the time you clear security until you reach your gate, what is the probability you will miss your flight? (Round your answer to three decimal places.)
Frank D.
It has been reported that the average hotel check-in time from arrival to the hotel is 12 minutes. Jack has just arrived at the hotel for check-in. Assuming check-in times follow a Normal distribution with a mean of 12 and a standard deviation of 2.0 minutes: (i) What is the probability that Jack's check-in time will be greater than 14 minutes? (ii) What is the probability that Jack's check-in time will be between 10 and 15 minutes? (iii) Determine, to two decimal places, the check-in time exceeded by 67% of guests in the hotel.
Joanna Q.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD