A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 146.9 seconds. Assuming drive-through times are normally distributed with a standard deviation of 31 seconds, complete parts (a) through (d) below. C (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through is (Round to four decimal places as needed.) (c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is (Round to four decimal places as needed.) (d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why? The probability that a car spends more than 3 minutes in the restaurant's drive-through is is than 0.05. (Round to four decimal places as needed.) so it be unusual, since the probability
A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 146.9 seconds. Assuming drive-through times are normally distributed with a standard deviation of 31 seconds, complete parts (a) through (d) below. C (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through is (Round to four decimal places as needed.) (c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is (Round to four decimal places as needed.) (d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why? The probability that a car spends more than 3 minutes in the restaurant's drive-through is is than 0.05. (Round to four decimal places as needed.) so it be unusual, since the probability
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:### Drive-Through Time Analysis
A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 146.9 seconds. Assuming drive-through times are normally distributed with a standard deviation of 31 seconds, complete parts (a) through (d) below.
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#### (a) Probability of Less than 92 Seconds
**Question:**
What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds?
**Answer:**
The probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds is __________.
*(Round to four decimal places as needed.)*
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#### (b) Probability of More than 192 Seconds
**Question:**
What is the probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through?
**Answer:**
The probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through is __________.
*(Round to four decimal places as needed.)*
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#### (c) Proportion of Cars between 2 and 3 Minutes
**Question:**
What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through?
**Answer:**
The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is __________.
*(Round to four decimal places as needed.)*
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#### (d) Unusual Time Over 3 Minutes
**Question:**
Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why?
**Answer:**
The probability that a car spends more than 3 minutes in the restaurant's drive-through is __________, so it would ___ be unusual since the probability is __________ than 0.05.
*(Round to four decimal places as needed.)*
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**Note:** Use statistical methods to calculate the precise probabilities and proportions as indicated, considering the normal distribution parameters provided.
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