← A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 137.9 seconds. Assuming drive-through times are normally distributed with a standard deviation of 29 seconds, complete parts (a) through (d) below. ... (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 103 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 103 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 190 seconds in the restaurant's drive- through? The probability that a randomly selected car will spend more than 190 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, s so it unusual, since the probability is than 0.05. (Round to four decimal places as needed.) be

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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5:02
LTE 2.1 4G
K
A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 137.9
seconds. Assuming drive-through times are normally distributed with a standard deviation of 29 seconds, complete
parts (a) through (d) below.
(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 103
seconds?
The probability that a randomly selected car will get through the restaurant's drive-through in less than 103 seconds is
0.
(Round to four decimal places as needed.)
(b) What is the probability that a randomly selected car will spend more than 190 seconds in the restaurant's drive-
through?
38%
The probability that a randomly selected car will spend more than 190 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, so it
unusual, since the probability is
▼than 0.05.
(Round to
four
decimal
places as needed.)
|||
=
O
be
Transcribed Image Text:5:02 LTE 2.1 4G K A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 137.9 seconds. Assuming drive-through times are normally distributed with a standard deviation of 29 seconds, complete parts (a) through (d) below. (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 103 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 103 seconds is 0. (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 190 seconds in the restaurant's drive- through? 38% The probability that a randomly selected car will spend more than 190 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, so it unusual, since the probability is ▼than 0.05. (Round to four decimal places as needed.) ||| = O be
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