The primary purpose of studying probability in statistics is...

to understand what makes a result statistically significant.

As a probability experiment is repeated the proportion of times that a given event occurs will

approach its long run probability.

What is the difference between an event and an outcome?

An event is an outcome or collection of outcomes.

Event A: a queen is drawn from a deck of cards. Event B: an even number is rolled on a die.

The events are independent., P(A and B) = 1/13 * 1/2

Events being mutually exclusive means that...

they can't happen at the same time., P(A and B) = 0.

A contingency table...

shows totals in the last column and last row., shows relationships between categorical variables., helps when finding conditional probabilities., show frequencies or relative frequencies.

A random experiment (phenomena) is a situation in which...

we know what outcomes can occur but not which one will.

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Probability Basics

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#statistics #probability Short quiz on basics of probability.

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Answers

1
The primary purpose of studying probability in statistics is...
to win money while gambling.
to understand what makes a result statistically significant.
to get a rigorous mathematical foundation for statistics.
to learn the difference between 'and' and 'or' probabilities
2
As a probability experiment is repeated the proportion of times that a given event occurs will
be greater than 1.
approach the number we know it will.
vary wildly.
approach its long run probability.
3
What is the difference between an event and an outcome?
We can't find the probability of an outcome.
They are the same.
An event is an outcome or collection of outcomes.
An outcome is an event or collection of events.
4
Event A: a queen is drawn from a deck of cards. Event B: an even number is rolled on a die.
P(A or B) = 1/13 + 1/2
The events are mutually exclusive.
The events are independent.
P(A and B) = 1/13 * 1/2
5
Events being mutually exclusive means that...
they can happen at the same time.
they can't happen at the same time.
P(A and B) = 0.
P(B) = P(B|A).
6
Which one is not a property of probabilities?
0 ⪯ P(A) ⪯ 1
If P(A) = 0, the event A never occurs.
P(AC) = P(A) - 1
If P(A) = 1, the event A always occurs.
7
A contingency table...
shows totals in the last column and last row.
shows relationships between categorical variables.
helps when finding conditional probabilities.
show frequencies or relative frequencies.
8
A fair coin is flipped 5 times and shows heads each time. The same coin is flipped again.
It will show tails.
It will show heads.
This is evidence the coin is not fair.
We can't predict the result.
9
When sampling with replacement, the sampled items are independent.
True.
False.
10
A random experiment (phenomena) is a situation in which...
we study subjects to prove causation.
we don't know what outcomes can occur nor which ones will.
we know what outcomes can occur but not which one will.
we know some possible outcomes but not all.

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