STATS 2 Flashcards

PROBABILITY

1
Q

What is the basic definition to probability

A

the likelihood that a particular outcome, of all possible
outcomes will occur

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2
Q

if probabilities range from 1 to 0 what do these two numbers mean

A

0 = never happens
1 = always happens

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3
Q

what is the probabilistic reasoning

A

an absolute statement we think about between reasoning among all people as a real prediction, for ex

Men are taller than women - yes
ALL men are taller than women - no

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4
Q

what makes probabilistic reasoning an all statement

A

by using the phrase all because not all of something con conclude or assume to be another.

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5
Q

if A political broadcaster, Eats healthy, works out, yearly stress test. He was told the likelihood of a heart attack was 5% in the next 10 years, Yet died from a heart attack 50 days later.

what is this an example of and why

A

Collective stat literacy
because as humans we fail to assume that all certainties come with a “what if”

such as a car accident you see it all the time, but you will never think it happens to you.

the percent of likely is a unknown principal we fail to believe may involve us because its a small percentage

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6
Q

what is person-who statistics

A

Individuals who donate
adhere to (or follow) probabilistic trends that lead to a fallacy argument

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7
Q

what is an example of a person who stats and why

A

out of 100%, 95% of people make it by the age of 85 by either two things, because people either don’t smoke or have smoked once and just stopped, continuous smoking causes lifespan to diminish but, there will always be that little percent of people who consistently smoke and still live by 85 and older which is that 5%

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8
Q

“Oh, get outta here! Look at old ole Ferguson down at the store. Three packs of Camels a day since he was sixteen! Eighty-one years old and he looks great!”

what is this an example of

A

Person - who statistics

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9
Q

what do we talk about when we mean cognitive illusions

A

Even when people know the correct answer they may be drawn to an incorrect conclusion by the structure of the problem

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10
Q

odd wording to directions or a question we may think we know but in fact get wrong is an example of

A

cognitive illusion

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11
Q

how would we fail to use a sample size

A

because we fail to look at congestion between two distributions and their limit extremes

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12
Q

why would larger samples better than smaller

A

because we have more room for variability and don’t run into extremes

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13
Q

what is the difference between absolute and relative percentages

A

that if we have a case of 1000 recalled rice, and the case count has gone up from 1 to 2, that is the relative percentage

the absolute percentage is the 1000 cases

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14
Q

what is the thinking theory

A

You fall prey to cognitive absolutes, if you don’t think about what you’re doing you could fail reasoning like failing to think about sampling sizes.

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15
Q

what do mean when we talk about the system 1 part of thinking

A

It is the part of thinking we use the most, we decide without second thought, we operate automatically and quickly, with little or no e ffort and
no sense of voluntary control”

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16
Q

what do we mean when we talk about system two part of thinking

A

allocates attention to the effortful mental activities that
demand it, including complex computations.
associated with the subjective experience of agency, choice, and concentration”

we do not use this part of our thinking often

17
Q

what is the frequentist view

A

it’s the dominant approach when we look at probability in a long-frequency count because the more trials/options we have the more we find a solution

18
Q

why would we think the frequentist view is ambiguous and objective but also doesn’t allow us to may probability statements

A

because looking at the long run data may be helpful in finding more reasoning of something happening through pattern, but in the real world patterns don’t determine certaincy especially for single events

19
Q

give me an example as to how the frequent view cannot make probablee statements

A

when we look at something like weather (singular event) we cannot determine what the weather will be in a week from now regardless of patterns because mother nature is a real-world thing

20
Q

what is the gamballers fallacy

A

the tendency for people to see links between events in the past and events in the
future when the two are independent”

21
Q
A
21
Q
A
22
Q

what are simple proabilities

A

when we look at the probability of one event independently

23
Q

P(data/hypo)

A

Frequent veiw

23
Q

what is the bayesian view to probability

A

The most common way of thinking about subjective probability is to define the probability of an event as the degree of belief that an intelligent and rational agent assigns to the truth of a singular event

it be reasonable to use this view as a way to detect the weather

24
Q

P(hypo/data)

A

Baysian view

25
Q

the statement Based on these data, the evidence in favour of the Alternative Hypothesis is 95.821 times stronger than the evidence in favour of the null hypothesis is an example of what view

A

the baysian view

26
Q

how are frequentist views and Bayesian views different

A

the frequentist views follow up probability with t tests and p values more complicated

27
Q

what is a sample place

A

all the elementary events

28
Q

what is a law of total probability

A

The probabilities for all events in our sample space must add up to 1.0

28
Q

in a probable distribution all the p sums that equal to one are all dependent of each other (true or false)

A

false they’re all independent

29
Q

why would p values in a distribution not equal to one

A

because they wouldn’t be independent p values

30
Q

when would we see discrete data

A

in binomial distributions such as coin flip tallies
something that has an outcome of failure or success rate no more or less.

31
Q

what makes a normal distribution contious data

A

because normal distributions give us more options and the results are endless

32
Q

what is the difference between bionomal distribution and normal distribution

A

binomial distributions only have finite outcomes between success and failure meaning its discrete

normal distributions is infinite with its outcomes making is continuous