SOLUTION: It has been reported that the average hotel check-in time at the Protea Hotel, from curbside to delivery of bags into the room, is 12 minutes. Rene just left the taxi that brought

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Question 1145449: It has been reported that the average hotel check-in time at the Protea Hotel, from curbside to delivery of bags into the room, is 12 minutes. Rene just left the taxi that brought her to the hotel. Assuming a normal distribution with a standard deviation of 2 minutes, what is the probability that the time required for Rene and her bags to get to the room will be between 8 and 10 minutes (rounded off to three decimals)?
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Probability the time is under 10 minutes:

%2810-12%29%2F2 = %28-2%29%2F2 = -1

Go to a z-table and find the value that corresponds with -1. This value is 0.1587. That means the probability is 0.1587 that the time required is less than 10 minutes.

Probability the time is under 8 minutes:

%288-12%29%2F2 = %28-4%29%2F2 = -2

Go to a z-table and find the value that corresponds with -2. This value is 0.0228. That means the probability is 0.0228 that the time required is less than 8 minutes.

To find the probability that the required time is between 8 and 10 minutes, simply subtract the probability the required time is less than 8 minutes (0.0228) from the probability the required time is less than 10 minutes (0.1587). The answer is 0.1359.