Question

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

156.1

seconds. Assuming​ drive-through times are normally distributed with a standard deviation of

33 ​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

118 ​seconds?

The probability that a randomly selected car will get through the​ restaurant's drive-through in less than 118 seconds is ____?

​(Round to four decimal places as​ needed.)

​(b) What is the probability that a randomly selected car will spend more than 218 seconds in the​ restaurant's drive-through? The probability that a randomly selected car will spend more than 218 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 (1)____ be​ unusual, since the probability is (2)_____

than 0.05.

​(Round to four decimal places as​ needed.)

(1)

would not

would

(2)

greater

less

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