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spin [16.1K]
3 years ago
14

Employees arrive at a cafeteria according to a Poisson process at an average rate of 30 employees per hour. The probability that

after one employee arrives, the next one will arrive at least 3 minutes later is _________.
a. 0.223
b. 0.202
c. 0.183
d. 0.162
e. 0.143
Business
1 answer:
Juliette [100K]3 years ago
6 0

Answer:

a. 0.223

Explanation:

Calculation for the Probability that after one employee arrives, the next one will arrive at least 3 minutes

Since no one comes in 3 minutes,hence:

3minutes/60 =1/20 hours

Thus, the Probability will be calculated as:

Probability=e^20/30

Probability=0.223

Therefore the Probability that after one employee arrives, the next one will arrive at least 3 minutes will be 0.223

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