Random variable having an exponential distribution with a mean of 5 minutes is used to represent the length of time for one individual to be served at a cafeteria. What is the probability that it takes between 2 and 10 minutes to be served? (2 points)
Added by Charles B.
Step 1
We know that the random variable follows an exponential distribution with a mean of 5 minutes. This means that the probability density function (PDF) of the random variable is given by: f(x) = (1/5) * e^(-x/5) where x is the time taken for an individual to be Show more…
Show all steps
Close
Your feedback will help us improve your experience
Pritesh Ranjan and 70 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
At a concession stand, the time it takes a person to be served follows an Exponential distribution with mean 2 minutes. What is the chance that a randomly selected person will take between 4 and 10 minutes to be served? Round to 4 decimal places; include ONLY numbers in your answer: Answer:
Nick J.
The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 5 minutes. What is the probability that a) at least 50 of 100 randomly selected customers got served less than 4 minutes b) Out of 100 randomly selected customers, what is the probability that the average of their serving time is less than 6 minutes?
Narayan H.
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