Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows.x12345Px0.680.140.080.020.08Send data to Excel Part 1 of 7 (a) Find P1.P1 = .68 Part 2 of 7 (b) Find P(greater than or equal to 2).P(greater than or equal to 2) = .32 Part 3 of 7 (c) Find the probability that a car has only one occupant.The probability that a car has only one occupant is . Part 4 of 7 (d) Find the probability that a car has fewer than four occupants.The probability that a car has fewer than four occupants is . Part 5 of 7 (e) Compute the mean μx. Round the answer to two decimal places.

The probability P1, which represents the probability that a car has only one occupant, is given…

Answered: Do you carpool? Let X represent the…

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

Do you carpool? Let

represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of

is as follows.

x	1	2	3	4	5
Px	0.68	0.14	0.08	0.02	0.08

Send data to Excel

Part 1 of 7

(a) Find

.68

Part 2 of 7

(b) Find

(greater than or equal to

) =

.32

Part 3 of 7

The probability that a car has only one occupant is

Part 4 of 7

(d) Find the probability that a car has fewer than four occupants.

The probability that a car has fewer than four occupants is

Part 5 of 7

(e) Compute the mean

μx

. Round the answer to two decimal places.

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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