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12 units of Iphone 8 is assembled by 1 worker in 0
12 units of Iphone 8 is assembled by 1 worker in 0.5hours. The units will then be transferred in a conveyor and the next worker will get the assembled units every 5 mins. What is the probability that 3 Iphone 8 units are transferred on the conveyor in 5 minutes?
Expert Solution
The probability that 3 iPhone 8 units are transferred on the conveyor in 5 minutes is 0.0007
Step-by-step explanation
From the given information we know that
X follow Poisson(1 in 30 min)
So, λ = 1*5/30 = 1/6
P(x) = e(-1/6)*(1/6)x/x!
Here we need to find the probability that 3 iPhone 8 units are transferred on the conveyor in 5 minutes, so,
P(3) = e(-1/6)*(1/6)3/3!
= 0.0007
∴ The probability that 3 iPhone 8 units are transferred on the conveyor in 5 minutes is 0.0007
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