Robert buys a 6-pack of Coke. Suppose that the amount of Coke in each can follows a normal distribution with mean 12.06 oz and standard deviation 0.15 oz. Assume that all cans are filled independently...

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Robert buys a 6-pack of Coke. Suppose that the amount of Coke in each can follows a normal distribution with mean 12.06 oz and standard deviation 0.15 oz. Assume that all cans are filled independently of each other. Find the probability of the following:
a) the first can Robert takes is underfilled, ...

Answered Same DayDec 23, 2021

Answer To: Robert buys a 6-pack of Coke. Suppose that the amount of Coke in each can follows a normal...

David answered on Dec 23 2021

124 Votes

P (X < 12)
Normal Distribution, µ = 12.06, σ = 0.15, P (X < 12) = Area to the left of 12
we convert this to standard normal using z = x− µ
σ
z = 12 − (12.06)0.15 = −0.40
Z
0.3446
−0.40
0
P (X < 12) = P (Z < −0.40) = 0.3446 (from z-table)
P (Z < −0.4): in a z-table having area to the left...

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Robert buys a 6-pack of Coke. Suppose that the amount of Coke in each can follows a normal distribution with mean 12.06 oz and standard deviation 0.15 oz. Assume that all cans are filled independently...

Answer To: Robert buys a 6-pack of Coke. Suppose that the amount of Coke in each can follows a normal...

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