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In: Statistics and Probability

A study found that the mean amount of time cars spent in​ drive-throughs of a certain​...

A study found that the mean amount of time cars spent in​ drive-throughs of a certain​ fast-food restaurant was 139.2 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 96 ​seconds?

The probability that a randomly selected car will get through the​ restaurant's drive-through in less than 96 seconds is?

(Round to four decimal places as​ needed.)

​(b) What is the probability that a randomly selected car will spend more than 177 seconds in the​ restaurant's drive-through?

The probability that a randomly selected car will spend more than 177 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 would/would not? be unsual, since the probablity is greater or less? than 0.05.?

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