A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 141.4 seconds. Assuming drive-through times are normally distributed with a standard...


A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 141.4 seconds. Assuming drive-through times are normally distributed with a standard deviation of 30 seconds, complete parts (a)<br>through (d) below.<br>(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 108 seconds?<br>The probability that a randomly selected car will get through the restaurant's drive-through in less than 108 seconds is.<br>(Round to four decimal places as needed.)<br>(b) What is the probability that a randomly selected car will spend more than 182 seconds in the restaurant's drive-through?<br>The probability that a randomly selected car will spend more than 182 seconds in the restaurant's drive-through is<br>(Round to four decimal places as needed.)<br>(c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through?<br>The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is<br>(Round<br>four decimal places as needed.)<br>(d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why?<br>The probability that a car spends more than 3 minutes in the restaurant's drive-through is. so it<br>V be unusual, since the probability is<br>V than 0.05.<br>(Round to four decimal places as needed.)<br>

Extracted text: A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 141.4 seconds. Assuming drive-through times are normally distributed with a standard deviation of 30 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 108 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 108 seconds is. (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 182 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 182 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 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 V be unusual, since the probability is V than 0.05. (Round to four decimal places as needed.)

Jun 10, 2022
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