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  • 問題数 99 • 10/8/2024

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  • 1

    It is the branch of mathematics that deals with the likelihood or chance of different outcomes occurring in random experiment

    Probability

  • 2

    It qualifies how likely an event to happen ranging from 0 to 1

    Probability

  • 3

    It is a specific outcome or a set of outcomes from a random experiment

    Event

  • 4

    The set of all possible outcomes of a random experiment

    Sample space

  • 5

    The ratio of the number of favorable outcomes to the total number of possible outcomes

    Probability of an event

  • 6

    What are the types of probability?

    Theoretical probability, Experimental probability, Subjective probability

  • 7

    It is based on reasoning or calculations

    Theoretical probability

  • 8

    It is based on actual experiments or historical data

    Experimental probability

  • 9

    It is based on personal judgment or experience

    Subjective probability

  • 10

    It is the sum of all the values in the set divided by the number of values

    Mean

  • 11

    It is the middle value in a set when the values are arranged in ascending or descending order

    Median

  • 12

    If the data set has an odd number of values, where does the median located?

    The middle

  • 13

    If it has an even number of values, where does the median located?

    It is the average of the two middle values

  • 14

    It is the value that appears most frequently in a data set

    Mode

  • 15

    A data set can have more than one mode if multiple values have the same ______ Or it can have a no mode if all values are _______

    Highest frequency, Unique

  • 16

    It is the set of all possible possible outcomes of random experiment. It provides comprehensive list of everything that can happen in that experiment.

    Sample space

  • 17

    It can be defined as certain likely outcomes of an experiment that form a subset of a finite sample space

    Events

  • 18

    Events in probability can be defined a certain likely outcomes of an experiment that form a subset of _____

    finite sample space

  • 19

    It refers to all outcomes in the sample space that are not part of the event itself

    complementary events

  • 20

    It includes all outcomes where some event does not occur

    complement of an event

  • 21

    What are the key properties of complimentary events?

    Mutually exclusive, Exhaustive, Sum of probabilities

  • 22

    It is an event where it’s complement, cannot occur at the same time

    Mutually exclusive

  • 23

    It is an event where it’s complement, cover all possible outcomes in the sample space

    Exhaustive

  • 24

    The probabilities of an event, and it’s compliment always add up to one

    Some of probabilities

  • 25

    It refers to the event that both events occur simultaneously

    Intersection events

  • 26

    These are events that cannot occur at the same time

    Mutually exclusive events

  • 27

    If one event happens, the other cannot this event is called

    disjoint events

  • 28

    From mutually exclusive event, probability of either event occurring in the sum of the individual probabilities

    Addition rule

  • 29

    It refers to the event that at least one of events occurs

    Union events

  • 30

    It helps us find the probability of two events happening together

    Multiplication rule

  • 31

    There are two versions of multiplication rule

    Independent, Dependent event

  • 32

    It is the probability that both events occurring is the product of their individual probabilities

    Independent events

  • 33

    It is where the probability of both events occurring as the product of the probability of the first event, and the conditional probability of the second event, given that the first event has occurred

    Dependent event

  • 34

    It refers to an arrangement of objects in specific order

    Permutation

  • 35

    It is the arrangement of items in a circle and starting point is not fixed

    Circular permit

  • 36

    This is where the formula adjust to account for the repeated items

    Circular permutation

  • 37

    It is used to determine the number of ways to choose a subset of items for larger set where the order of the selection does not matter

    Combination rule

  • 38

    It is often used in probability to calculate the number of ways to arrange or select objects

    factorial rule

  • 39

    It is the product of our positive integers

    Factorial of a number

  • 40

    It’s states that the sum of probability of an event, and the probability of its compliment is always equal to one

    Complimentary rule

  • 41

    It is the probability of an event occurring given that another event has already occurred

    Conditional probability

  • 42

    What is the significance of conditional probability?

    It helps us understand how the occurrence of one event affects the likelihood of another event

  • 43

    It is the probability theory that describes how to update the probability of a Hypothesis base on any new evidence

    Baye’s Rule

  • 44

    represents in numerical value associated with each outcome of a probability distribution

    Random variables

  • 45

    A random variable is discreet if it has _______ Possible outcomes that can be listed

    Finite or countable number log

  • 46

    A random variable is continuous if it has _______ Represented by the intervals on a number line

    Uncountable number or possible outcomes

  • 47

    It is equal to the mean of random variable

    Expected value

  • 48

    At least each possible value, the random variable can assume together with its probability

    Discrete, probability distribution

  • 49

    What are the two conditions of discrete probability distribution?

    The probability of each value of the discrete, random variable is between zero and one inclusive, The sum of all the probabilities is one

  • 50

    It is denoted by the FFX measures the probability, the random variable X assume a value less than or equal to one

    Cumulative distribution function

  • 51

    It is the adding app of the probabilities up to a certain value

    Cumulative probability

  • 52

    What are the following condition that satisfies the binomial experiments?

    Experiment is repeated for a fixed number of trials, where trials is independent of the other trials, There are only two possible outcomes of interest for each trial. The outcomes can be classified as success, or as a failure., The probability of success is the same for each trial, The random variable X count the number of successful trials

  • 53

    It has a probability, assuming exactly any of its values

    Continuous, random variable

  • 54

    It has number of values they can assume is non-countable

    Continuous, random variable

  • 55

    There are an ______ Possibilities that the land could be so the probability could be zero

    Infinite number

  • 56

    It is a function that describes how likely particular outcomes or intervals deals with the continuous random variables

    Probability density function

  • 57

    It is the probability that the random variable X is between values

    The area under the PDF in a specific region

  • 58

    If you take all the probabilities that are variable could be, then they’re probabilities must

    add up to one

  • 59

    The normal density function was proposed by

    C.F Gauss (1777-1855)

  • 60

    It is defined as second continuous frequency, distribution of infinite range

    Normal distribution

  • 61

    It is a descriptive model that describes the real world situations

    Normal distribution

  • 62

    These are lines that shows the location of the individuals along the horizontal axis, and within the range of possible values

    Density curve

  • 63

    Describes the overall pattern of a distribution the area under the curve, and above any range of values on the horizontal axis is the proportion of all observations that fall in that range

    Density curves

  • 64

    The overall pattern of a distribution under the area under the curve, and above any range of values and horizontal axis, is the _______ Of all observations that fall in that range

    Proportion

  • 65

    It is the balance point in a density curve

    Mean

  • 66

    It is an equal areas point or the point that divide the under the curve in half

    Median

  • 67

    The mean, and the median are the same for _________

    Symmetric density curve

  • 68

    They both lie at the center of the curve

    Mean and median

  • 69

    It is described by a normal density curve

    Normal distribution

  • 70

    It is any particular normal distribution is completely specified by two numbers

    Mean and standard deviation

  • 71

    Where is the distance from the center to the change of curvature points on either side

    Standard deviation

  • 72

    Normal distribution are symmetric around _____

    Mean

  • 73

    The main median and mode of a normal distribution are ______

    Equal

  • 74

    Normal distribution are ________ In the center and _______ in the tails

    denser , less dense

  • 75

    How many percentage of the area of of a normal normal distributions are within one standard deviation of the mean?

    68%

  • 76

    Approximately what percentage of the area of a normal distribution is within two standard deviation of the mean

    95%

  • 77

    It is a value from any normal distribution that can be transformed into its corresponding value

    Standard normal distribution

  • 78

    In standard normal distribution Z is what

    Value standard normal distribution

  • 79

    A standard normal distribution X is what

    The value on the original distribution

  • 80

    Grouping or subset of items

    Combination formula

  • 81

    It is the measure of dispersion, or scatter in the possible value for X in a random variable

    Variance

  • 82

    It uses weight as the multiplier of each possible square deviation

    Variance

  • 83

    Is a weighted Average average of the possible values of X with weights equal to the probabilities

    Mean

  • 84

    FFFX is the probability mass function of loading on long, thin beam. It is the point at the beam balances.

    Mean

  • 85

    It describes the center of distribution of X in a manner similar to the balance point of loading

    Mean

  • 86

    If the semester of the center or middle of the probability distribution

    Mean

  • 87

    It is the measure of a dispersion or variability in the distribution

    Variance

  • 88

    It is a description of the probabilities associated with the possible values of X

    Probability distribution

  • 89

    Specified by just a list of the possible values, along with the probability of each

    Discrete, random variable

  • 90

    It is denoted by an uppercase letter, such as X

    Random variable

  • 91

    It is a function that a science are real number to each outcome in the ample space of veranda experiment

    Random variable

  • 92

    It’s used to distinguish between a random variable, and the real number

    Notation

  • 93

    It is the variable that associates a number with the outcome or experiment

    Random variable

  • 94

    It is a random variable with an interval of real numbers for its range

    Continuous, random variable

  • 95

    Can be used to describe the probability distribution of a continuous, random variable

    Probability density function

  • 96

    Provides a simple description of the probabilities associated with a random variable

    Probability density function

  • 97

    It is an approximation to probability density function

    Histogram

  • 98

    The distribution is often specified by just a list of the possible values, along with the probability of each

    Discrete, random variable

  • 99

    It is the distance from the center to the change of curvature points on either side

    Standard deviation