Assume the time required to pass through security at a particular airport follows the continuous uniform distribution with a minimum time of 5 minutes and maximum time of 33 minutes. Complete parts (a) through (f) below. Question content area bottom Part 1 a) Calculate the value of f(x). f(x)=. 036.036 (Type an integer or decimal rounded to three decimal places as needed.) Part 2 b) What are the mean and standard deviation for this distribution? The mean of this distribution is 1919 minutes. (Type an integer or a decimal.) Part 3 The standard deviation of this distribution is 8.518.51 minutes. (Type an integer or decimal rounded to two decimal places as needed.) Part 4 c) What is the probability that the next passenger will require less than 28 minutes to pass through security? enter your response here (Type an integer or decimal rounded to three decimal places as needed.) Part 5 d) What is the probability that the next passenger will require more than 25 minutes to pass through security? enter your response here (Type an integer or decimal rounded to three decimal places as needed.) Part 6 e) What is the probability that the next passenger will require between 7 and 11 minutes to pass through security? . 143.143 (Type an integer or decimal rounded to three decimal places as needed.) Part 7 f) What time represents the 75th percentile of this distribution? enter your response here minutes (Type an integer or a decimal.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question content area bottom

Part 1

a) Calculate the value of f(x).

f(x)=. 036.036

(Type an integer or decimal rounded to three decimal places as needed.)

Part 2

b) What are the mean and standard deviation for this distribution?

The mean of this distribution is

1919

minutes.

(Type an integer or a decimal.)

Part 3

The standard deviation of this distribution is

8.518.51

minutes.

(Type an integer or decimal rounded to two decimal places as needed.)

Part 4

c) What is the probability that the next passenger will require less than

minutes to pass through security?

enter your response here

(Type an integer or decimal rounded to three decimal places as needed.)

Part 5

d) What is the probability that the next passenger will require more than

minutes to pass through security?

enter your response here

(Type an integer or decimal rounded to three decimal places as needed.)

Part 6

e) What is the probability that the next passenger will require between

and

minutes to pass through security?

. 143.143

(Type an integer or decimal rounded to three decimal places as needed.)

Part 7

f) What time represents the

75th

percentile of this distribution?

enter your response here

minutes

(Type an integer or a decimal.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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