Asked by Jessica Strohmenger on May 11, 2024
Verified
In a Poisson probability problem, the rate of errors is one every two hours.To find the probability of three defects in four hours,
A) μ = 1, x = 4.
B) μ = 2, x = 3.
C) μ = 3, x = 2.
D) μ = 3, x = 6.
Poisson Probability
A distribution used to predict the probability of a given number of events happening in a fixed interval of time or space, given a constant mean rate of occurrence.
Defects
Imperfections or faults in a product or process that deviate from desired performance or specification.
- Apply the exponential and Poisson distributions in real-world contexts.
Verified Answer
PT
Parisa TaghavianMay 15, 2024
Final Answer :
B
Explanation :
Since the rate of errors is one every two hours, the rate for four hours would be two errors. Thus, μ = 2. We are looking for the probability of three defects, so x = 3. Therefore, choice B (μ = 2, x = 3) is the best choice.
Learning Objectives
- Apply the exponential and Poisson distributions in real-world contexts.
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