The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four traffic fatalities, inclusive, involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) c. The mean of Y is nothing. Choose the correct interpretation of the mean below. A. On average, of this many traffic fatalities, 1 will involve an intoxicated or alcohol-impaired driver or nonoccupant. B. In every six traffic fatalities, exactly this many will involve an intoxicated or alcohol-impaired driver or nonoccupant. C. On average, of six traffic fatalities, this many will involve an intoxicated or alcohol-impaired driver or nonoccupant.

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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The probability is

0.4

that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is

a. exactly three; at least three; at most three.

b. between two and four, inclusive.

c. Find and interpret the mean of the random variable Y.

a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is

nothing.

(Round to four decimal places as needed.)

The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is

nothing.

(Round to four decimal places as needed.)

The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is

nothing.

(Round to four decimal places as needed.)

b. The probability that between

two

and

four

traffic fatalities, inclusive, involve an intoxicated or alcohol-impaired driver or nonoccupant is

nothing.

(Round to four decimal places as needed.)

c. The mean of Y is

nothing.

Choose the correct interpretation of the mean below.

On average, of this many traffic fatalities, 1 will involve an intoxicated or alcohol-impaired driver or nonoccupant.

In every

six

traffic fatalities, exactly this many will involve an intoxicated or alcohol-impaired driver or nonoccupant.

On average, of

six

traffic fatalities, this many will involve an intoxicated or alcohol-impaired driver or nonoccupant.

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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