Answered: Find P(A|B). a. 16/144 b. 2/4 c. 2/144…

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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20. Find P(A|B).
a. 16/144
b. 2/4
c. 2/144
d. 4/16

23. A correlation coefficient of 0.1 indicates that a scatterplot of the data follows:
a. a strong, positive linear pattern
b. a weak, negative linear pattern
c. no pattern
d. a weak, positive linear pattern

24. Choose the correct interpretation for the 95% confidence interval estimate of the true
population mean IQ score among adult Americans: (70, 130)
a. We are 95% confident that a randomly selected adult American has an IQ score
between 70 and 130.
b. We have a 95% chance to capture the true population mean IQ score among adult
Americans in between 70 and 130.
c. We are 95% confident that the true population mean IQ score among adult Americans is
between 70 and 130.
d. The probability that a randomly selected adult American has an IQ score between 70
and 130 is 95%.

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 + ...

Expert Solution

Answer(20)

Possible outcomes 12 for each dice, so for both dice, total outcomes = 12*12=144

for B , favorable outcomes on each dice (any one of 9,10,11,12),

so for both dice, total outcomes for B = 4*4=16

for A and B , favorable outcomes on each dice (any one of 10,12),

so for both dice, total outcomes for A and B = 2*2=4

therefore, P(A|B) = P(A and B)/P(B) = (4/144) / (16/144) = 4/16

correct option: $D . 4 / 16$

Answer(21)

A correlation coefficient of 0.1 indicates:

$d . a weak, positive linear pattern$

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