The Hill of Tara is located in south-central Meath, not far from Dublin, Ireland. Tara is of great cultural and archaeological importance, since it is by legend the seat of theancient high kings of Ireland. For more information, see Tara: An Archaeological Survey, by Conor Newman, Royal Irish Academy, Dublin.Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magneticsusceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for arandomly chosen site on the Hill of Tara. A random sample of 120 sites gave the readings shown in the table below.Magnetic Susceptibility Readings,centimeter-gram-second x 10-6 (cmg x 10-6)MagneticSusceptibilityNumber ofReadingsEstimatedCommentProbability"cool"Osx< 103030/120 = 0.25"neutral"10 What is the law of large numbers? How would the law of large numbers apply in this context?O The law of large numbers states that as the number of trials decreases, the relative frequency approaches the theoretical probability. If we took more and morereadings, the relative frequencies would become more accurate estimates of the true probabilities.O The law of large numbers states that as the number of trials increases, the relative frequency approaches the theoretical probability. If we took more and more readings,the relative frequencies would become less accurate estimates of the true probabilities.O The law of large numbers states that for any number of trials, the relative frequency is the same as the theoretical probability. If we took more and more readings, therelative frequencies would always be perfect estimates of the true probabilities.O The law of large numbers states that as the number of trials decreases, the relative frequency approaches the theoretical probability. If we took more and morereadings, the relative frequencies would become less accurate estimates of the true probabilities.O The law of large numbers states that as the number of trials increases, the relative frequency approaches the theoretical probability. If we took more and more readings,the relative frequencies would become more accurate estimates of the true probabilities.

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Description: The Hill of Tara is located in south-central Meath, not far from Dublin, Ireland. Tara is of great cultural and archaeological importance, since it is by legend the seat of theancient high kings of Ireland. For more information, see Tara: An Archaeo

A random sample of 120 observations are given. A probability is a numerical measure greater than or…

Math

Statistics

What is probability? A probability is a numerical measure greater than or equal to and less than or equal to that describes the likelihood that an event will occur. Probabilities closer to indicate that the event is more likely to occur. Probabilities closer to indicate that the event is less likely to occur. What do we mean by relative frequency as a probability estimate for events? A probability assignment based on relative frequency uses the formula, probability of event = relative frequency = , where f is the frequency of the event occurrence in a sample of n observations.

What is probability? A probability is a numerical measure greater than or equal to and less than or equal to that describes the likelihood that an event will occur. Probabilities closer to indicate that the event is more likely to occur. Probabilities closer to indicate that the event is less likely to occur. What do we mean by relative frequency as a probability estimate for events? A probability assignment based on relative frequency uses the formula, probability of event = relative frequency = , where f is the frequency of the event occurrence in a sample of n observations.

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

The Hill of Tara is located in south-central Meath, not far from Dublin, Ireland. Tara is of great cultural and archaeological importance, since it is by legend the seat of the
ancient high kings of Ireland. For more information, see Tara: An Archaeological Survey, by Conor Newman, Royal Irish Academy, Dublin.
Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic
susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a
randomly chosen site on the Hill of Tara. A random sample of 120 sites gave the readings shown in the table below.
Magnetic Susceptibility Readings,
centimeter-gram-second x 10-6 (cmg x 10-6)
Magnetic
Susceptibility
Number of
Readings
Estimated
Comment
Probability
"cool"
Osx< 10
30
30/120 = 0.25
"neutral"
10 <x < 20
54
54/120 = 0.45
"warm"
20 <x < 30
18
18/120 = 0.15
"very interesting"
"hot spot"
30 sx < 40
40 sx
12/120 = 0.10
6/120 = 0.05
12
6
What is probability?
A probability is a numerical measure greater than or equal to
and less than or equal to
that describes the likelihood that an event will occur.
Probabilities closer to
indicate that the event is more likely to occur. Probabilities closer to
indicate that the event is less likely to occur.
What do we mean by relative frequency as a probability estimate for events?
A probability assignment based on relative frequency uses the formula, probability of event = relative frequency =
, where f is the frequency of the
event occurrence in a sample of n observations.

What is the law of large numbers? How would the law of large numbers apply in this context?
O The law of large numbers states that as the number of trials decreases, the relative frequency approaches the theoretical probability. If we took more and more
readings, the relative frequencies would become more accurate estimates of the true probabilities.
O The law of large numbers states that as the number of trials increases, the relative frequency approaches the theoretical probability. If we took more and more readings,
the relative frequencies would become less accurate estimates of the true probabilities.
O The law of large numbers states that for any number of trials, the relative frequency is the same as the theoretical probability. If we took more and more readings, the
relative frequencies would always be perfect estimates of the true probabilities.
O The law of large numbers states that as the number of trials decreases, the relative frequency approaches the theoretical probability. If we took more and more
readings, the relative frequencies would become less accurate estimates of the true probabilities.
O The law of large numbers states that as the number of trials increases, the relative frequency approaches the theoretical probability. If we took more and more readings,
the relative frequencies would become more accurate estimates of the true probabilities.

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