Practice Quiz

Six Sigma Black Belt

Category - Black Belt

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Regular customers at a computer service store arrive at the front desk at a rate of 15 per hour. What is the probability that the arrival time between consecutive customers is less than three minutes?
  1. 50%
  2. 45%
  3. 53%
  4. 43%
Explanation
Answer: C -The probability is 53%.

Key Takeaway: Three minutes are equivalent to 0.05 hours. Given that the mean number of arrivals (λ) is 15 hours, the formula below is used to calculate the probability that the arrival time between consecutive customers is less than three minutes. The probability is calculated to be 53%
P(arrival time < 0.05) = 1 - e-λX
P(arrival time < 0.05) = 1 - e-(15)(0.05)
P(arrival time < 0.05) = 0.53
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