Probability and Statistics Flashcards

1
Q

What is one easy way to solve permutations?

A

Fundamental Counting Principle

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2
Q

What is an ordering of n objects?

A

Permutations

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3
Q

What does n! mean?

A

n times all the whole numbers less than it.

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4
Q

What is n! called?

A

n factorial

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5
Q

How is the number of permutations of r object taken from a group of n distinct objects denoted?

A

nPr

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6
Q

What is the formula for nPr?

A

n! / (n-r)!

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7
Q

What is a selection of object from a group, where order is NOT important?

A

Combination

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8
Q

What does n stand for (nPr or nCr)?

A

Total number of objects.

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9
Q

What does r stand for (nPr or nCr)?

A

Number to be chosen.

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10
Q

What is the formula for nCr?

A

n! / r! (n-r)!

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11
Q

What is the mean?

A

Average

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12
Q

What does σ stand for?

A

Standard deviation

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13
Q

What does x̅ stand for?

A

Mean

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14
Q

Besides mean, what are other measures of tendency?

A

Median and mode

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15
Q

What do variance and standard deviation show?

A

How much data values deviate from the mean of the data set.

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16
Q

When looking at data variation, if there are small values the data will be

A

close together.

17
Q

When looking at data variation, if there are larger values, the data will be

A

spread out.

18
Q

What is σx^2?

A

Variance

19
Q

What is a function that gives the probability of each outcome in a list of possibilities?

A

Probability distribution

20
Q

What has data that vary randomly from the mean?

A

Normal distribution

21
Q

What is the graph of a normal distribution called?

A

Normal curve

22
Q

In a normal distribution: what percent of data fall within one standard deviation of the mean?

A

68%

23
Q

In a normal distribution: what percent of data fall within two standard deviations of the mean?

A

95%

24
Q

In a normal distribution: what percent of data fall within three standard deviations of the mean?

A

99.7%

25
Q

A normal distribution has a symmetric ____ shape centered on the ____.

A

bell

mean

26
Q

Sometimes an extraordinary factor affect data that would otherwise be normal, making it a ______ ____________.

A

skewed distribution

27
Q

To find the probability of a value being between two given values on a calculator, hi the _____ menu and chows _________(.

A

DISTR

normalcdf