Fast food restaurants spend quite a a bit of time studying the amount of time cars spend in their drive-through's. Certainly, the faster the cars get through the drive-through, the more opportunity for making money. QSR Magazine studied drive-through times for fast food restaurants and found that Wendy's had the best time, with a mean time spent in drive-through of 138.5 seconds and a standard deviation of 29 seconds. We can safely assume the time spent in the drive-through follows a normal distribution. Define the random variable T to be the time, in seconds, spent in the Wendy's drive-through. Answers to probability questions must include the probability statement with the random variable and the value given to 4 decimal places.   1. What is the probability a car will spend less than 100 seconds in the Wendy's drive through?    2. 65% of vehicles spend at most how many seconds in the Wendy's drive through? Give answer to 1 decimal place with proper units.   3. Suppose we take a random sample of 10 vehicles that go through the Wendy's drive through, what is the probability the average time will be less than 100 seconds?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Fast food restaurants spend quite a a bit of time studying the amount of time cars spend in their drive-through's. Certainly, the faster the cars get through the drive-through, the more opportunity for making money. QSR Magazine studied drive-through times for fast food restaurants and found that Wendy's had the best time, with a mean time spent in drive-through of 138.5 seconds and a standard deviation of 29 seconds.

We can safely assume the time spent in the drive-through follows a normal distribution.

Define the random variable T to be the time, in seconds, spent in the Wendy's drive-through.

Answers to probability questions must include the probability statement with the random variable and the value given to 4 decimal places.

 

1. What is the probability a car will spend less than 100 seconds in the Wendy's drive through? 

 

2. 65% of vehicles spend at most how many seconds in the Wendy's drive through? Give answer to 1 decimal place with proper units.

 

3. Suppose we take a random sample of 10 vehicles that go through the Wendy's drive through, what is the probability the average time will be less than 100 seconds? 

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