A production line has 2 failures per month on average. Assuming that the number of failures follows a Poisson distribution, what is the probability that there is one failure occur for the next two months?
Added by Charles S.
Step 1
Step 1: Define the random variable Y as the number of failures in a two-month period, which follows a Poisson distribution with a mean of 4 (2 failures per month * 2 months). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Audrey Fong and 57 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
If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week.
Hoan N.
The number of accidents in a production facility has a Poisson distribution with a mean of 2.7 per month. For a given month, what is the probability that there will be more than three (3) accidents?
Maitreya E.
The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a mean of 0.02 failures per hour. (a) What is the probability that the instrument does not fail in an 8 -hour shift? (b) What is the probability of at least one failure in a 24 -hour day?
Discrete Random Variables and Probability Distributions
Poisson Distribution
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