The number of cars X, used for official business purposes on any given workday of two companies, A and B, are given below Company A X 1 2 3 f(x) .3 .4 .3 Company B X 0 1 2 3 4 f(x) .2 .1 .3 .3 .1 Compare the 2 companies in terms of their mean number of cars and the standard deviation =√V(X). b. Should the 2 companies maintain the same number of cars for official use? Explain with numerical support. Can computers ‘think’? According to the Turing test, a computer can be considered to think if, when a person communicates with it, the person believes he or she is communicating with another person instead of a computer. In an experiment at Boston’s Computer Museum, a judge communicated with four computers and four other people. He was asked to distinguish between them. Assume that he cannot distinguish between the four computers and the four people, and so he makes random guesses. a. Let the random variable X represent the number of correct guesses of a judge. Determine the probability distribution function of X. Can we conclude that computers can think? Numerically support your answer. There are 4 black balls, and 4 white ones in an urn. You pick 4 balls. Let X be the number of black balls you get. What are the values of X and the probabilities associated with each value? b. Suppose you win PhP500 per black ball you get, and an extra PhP2000 if you get all 4 black balls. What is your expected gain?

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Description: The number of cars X, used for official business purposes on any given workday of two companies, A and B, are given below Company A X 1 2 3 f(x) .3 .4 .3 Company B X 0 1 2 3 4 f(x) .2 .1 .3 .3 .1 Compare the 2 companies in terms of their mean numbe

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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The number of cars X, used for official business purposes on any given workday of two companies, A and B, are given below

Company A

X 1 2 3

f(x) .3 .4 .3

Company B

X 0 1 2 3 4

f(x) .2 .1 .3 .3 .1

Compare the 2 companies in terms of their mean number of cars and the standard deviation =√V(X). b. Should the 2 companies maintain the same number of cars for official use? Explain with numerical support.
Can computers ‘think’? According to the Turing test, a computer can be considered to think if, when a person communicates with it, the person believes he or she is communicating with another person instead of a computer. In an experiment at Boston’s Computer Museum, a judge communicated with four computers and four other people. He was asked to distinguish between them. Assume that he cannot distinguish between the four computers and the four people, and so he makes random guesses. a. Let the random variable X represent the number of correct guesses of a judge. Determine the probability distribution function of X.
Can we conclude that computers can think? Numerically support your answer.
There are 4 black balls, and 4 white ones in an urn. You pick 4 balls.
Let X be the number of black balls you get. What are the values of X and the probabilities associated with each value? b. Suppose you win PhP500 per black ball you get, and an extra PhP2000 if you get all 4 black balls. What is your expected gain?

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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