A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 134.8 seconds. Assuming drive-through times are normally distribute standard deviation of 25 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 90 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 90 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 178 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 178 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 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 be unusual, since the probability is than 0.05. (Round to four decimal places as needed.)

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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 134.8 seconds. Assuming drive-through times are normally distributed with a standard deviation of 25 seconds, complete parts (a) through (d) below.

A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 134.8 seconds. Assuming drive-through times are normally distributed with a
standard deviation of 25 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 90 seconds?
The probability that a randomly selected car will get through the restaurant's drive-through in less than 90 seconds is
(Round to four decimal places as needed.)
(b) What is the probability that a randomly selected car will spend more than 178 seconds in the restaurant's drive-through?
The probability that a randomly selected car will spend more than 178 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
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
be unusual, since the probability is
than 0.05.
(Round to four decimal places as needed.)
Transcribed Image Text:A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 134.8 seconds. Assuming drive-through times are normally distributed with a standard deviation of 25 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 90 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 90 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 178 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 178 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 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 be unusual, since the probability is than 0.05. (Round to four decimal places as needed.)
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