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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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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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