question archive If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes if the standard deviation is 5 minutes? (Make sure to use a percentage!)
If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes if the standard deviation is 5 minutes? (Make sure to use a percentage!)
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If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes if the standard deviation is 5 minutes? (Make sure to use a percentage!)
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Answer:
0.82%
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (72 − 60) / 5
z = 2.4
Use a chart or calculator to find the probability.
P(Z > 2.4) = 1 − P(Z < 2.4)
P(Z > 2.4) = 1 − 0.9918
P(Z > 2.4) = 0.0082
