CHAPTER 3 Flashcards

1
Q

A function that associates a real number with each element in the sample space

A

Random Variable

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2
Q

If a sample space contain a finite number of possibilities or an unending sequence with as many elements as there are whole numbers

A

Discrete Sample Space

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3
Q

If a sample space contains an infinite number of possibilities equal to the number of points on a line segment

A

Continuous Sample Space

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4
Q

If its set of possible putcomes is countable

A

Discrete Random Variable

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5
Q

Discerete random variable reperesent a _____ data

A

Count

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6
Q

Set pf possible balues is an entire interval of numbers

A

Continuous Random Variable

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7
Q

When a random variable can take onnvalues on a continuous svale

A

Continuous Random Variable

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8
Q

Set of ordered pairs

A

Probability function, probability mass function, or Probability distribution

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9
Q

An experiment often consists of repeated trials, each with two possible putcomes that may be labelled success or failure

A

Binomial Distribution

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10
Q

Process of Binomial Distribution

A

Bernoulli Process

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11
Q

The trial of Binomial Distribution

A

Benoulli Trial

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12
Q

The number X of successes in n Bernoulli trials

A

Binomial Random Variable

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13
Q

The probability distribution of the discrete binomial random variable

A

Binomial Distribution

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14
Q

The binomial experiment becomes this experiment if we let each trial have more than two possible outcomes

A

Multinomial Experiment

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15
Q

Of the N items, k may be classified as successes and N-k are classifies as failures

A

Hypergeometric Experiment

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16
Q

The number X of successes of a hypergeometric experiment

A

Hypergeometric Random Variable

17
Q

The probability distribution of the hypergeometric variable

A

Hypergeometric Distribution

18
Q

If repeated independent trials can result in a success with a probability p and a failure with probability q = 1-p, then the probability distribution of the random variable X, the number of the trial on which the kth success occur

A

Negative Binomial Distribution

19
Q

If repeated independent trials can result in a success with a probability p and a failure with probability q = 1-p, then the probability distribution of the random variable X, the number of the trial on which the 1st success occur

A

Geometric Distribution

20
Q

Experiments yielding numerical values of a random variable X, the number of outcomes occuring during a given time interval or in a specified region

A

Poisson Experiment

21
Q

A poisson Experiment is derived from the ______

A

Poisson Process

22
Q

The number X of outcomes occuring during a poison experiment

A

Poison random variable