The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes with a standard deviation of 3.6 minutes. Assume the variable is normally distributed. What is the probability that a patron will wait less than 18 minutes or more than 25 minutes? Round up your answer to four decimals. 0.4102 0.3902 0.5133 0.4002
Added by Bryan M.
Close
Step 1
The z-score formula is: z = (x - μ) / σ where x is the value, μ is the mean, and σ is the standard deviation. For 18 minutes: z1 = (18 - 23.5) / 3.6 ≈ -1.5278 For 25 minutes: z2 = (25 - 23.5) / 3.6 ≈ 0.4167 Now, we need to find the probability for each Show more…
Show all steps
Your feedback will help us improve your experience
Supreeta N and 89 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 average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes with a standard deviation of 3.6 minutes. Assume the variable is normally distributed . When a patron at the restaurant for dinner, find the probability that the patron will have to wait between 15 and 22 minutes.
Prabhakar K.
The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes. Assume the variable is normally distributed. When a patron arrives at the restaurant for dinner, find the probability that the patron will have to wait the following time. Find the range of usual values of waiting time.
Sri K.
10.The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes. Assume the variable is normally distributed. When a patron arrives at the restaurant for dinner, find the probability that the patron will have to wait the following time: a. Between 15 minutes and 30 minutes. b. Less than 10 minutes. c. More than 20 minutes.
Anna D.
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