A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 149.4 seconds. Assuming drive-through times are normally distributed with a standard deviation of 31 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 99 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 99 seconds is nothing. (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 196 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 196 seconds in the restaurant's drive-through is nothing. (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 nothing. (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 nothing, so it ▼ would would not be unusual, since the probability is ▼ less greater than 0.05. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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

149.4

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

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

seconds?

The probability that a randomly selected car will get through the restaurant's drive-through in less than

seconds is

nothing.

(Round to four decimal places as needed.)

(b) What is the probability that a randomly selected car will spend more than

196

seconds in the restaurant's drive-through?

The probability that a randomly selected car will spend more than

196

seconds in the restaurant's drive-through is

nothing.

(Round to four decimal places as needed.)

and

minutes in the restaurant's drive-through?

The proportion of cars that spend between

and

minutes in the restaurant's drive-through is

nothing.

(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

minutes in the restaurant's drive-through is

nothing,

so it

▼

would

would not

be unusual, since the probability is

▼

less

greater

than 0.05.

(Round to four decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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