A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 147.7 seconds Assuming drive-through times are normally distributed with a standan deviation of 28 seconds, complete parts (a) through (d) below Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). C (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 115 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 115 seconds is 1210 (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 191 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 191 seconds in the restaurant's drive-through is 0606 (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 restaurant's drive-through is 7144

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 147.7 seconds. Assuming drive-through times are normally distributed with a standard
deviation of 28 seconds, complete parts (a) through (d) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 115 seconds?
The probability that a randomly selected car will get through the restaurant's drive-through in less than 115 seconds is 1210
(Round to four decimal places as needed.)
(b) What is the probability that a randomly selected car will spend more than 191 seconds in the restaurant's drive-through?
I
The probability that a randomly selected car will spend more than 191 seconds in the restaurant's drive-through is 0606
(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 7144
(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
(Round to four decimal places as needed.)
so it
be unusual, since the probability is
than 0.05.
Transcribed Image Text:A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 147.7 seconds. Assuming drive-through times are normally distributed with a standard deviation of 28 seconds, complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 115 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 115 seconds is 1210 (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 191 seconds in the restaurant's drive-through? I The probability that a randomly selected car will spend more than 191 seconds in the restaurant's drive-through is 0606 (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 7144 (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 (Round to four decimal places as needed.) so it be unusual, since the probability is than 0.05.
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