biostats lab probability distribution Flashcards

1
Q

A function whose values are_____
determined by the elements of the _____

A

random variable; real numbers; sample space

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2
Q

any variable (or a data
point) with a random value that is predetermined
by the _____

A

random variable; outcome of the experiment

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3
Q

difference between continuous and discrete

A

continuous= fraction, decimal
discrete= integer, whole number

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4
Q

applies the theory of probability to describe the behavior of random variables

A

probability distribution

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5
Q

what is a discrete probability distribution

A

applies the theory of probability to describe the behavior of random variables wherein it specifies all possible outcomes and the probability that each will occur

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6
Q

aids in the determination of the average of a set of data by knowing the distinct values that occur and their relative frequencies, without _____

A

mathematical expectation; without knowledge of the total number of observations in our set of data.

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7
Q

other terms for mathematical expectation

A

expected value/ mean of the probability distribution

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8
Q

what is the mathematical expectation equation

A

mean= summationn of x= Summation of x f of x

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9
Q

is a ____ probability distribution that maps the behavior of a binomial random variable.

A

binomial probability distribution; discrete

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10
Q

what do u call the equation of binomial, why?

A

probability density function, we try to know the density of the curve

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11
Q

The most important and common continuous probability distribution is the normal distribution or the Gaussian distribution. Its probability density function is given as follows:

A

Normal distribution

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12
Q

The properties of the Normal Distribution is as follows:

A

Bell-shaped distribution, symmetrical about the mean.
2. Mean = Median = Mode.
3. Total area under the curve is one.
4. Has long tapering tails which extend indefinitely in either
direction corresponding to an infinite range of x values in the distribution.

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13
Q

what determines the shape of the curve

A

standard deviation

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14
Q

what determines the location of the curve

A

mean

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15
Q

positive skewness means

A

skew to the right
mean> median> mode

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16
Q

negati

A
17
Q

negative skewness means

A

skew to the left
mean<median<mode

18
Q

Since a normal distribution could have an infinite number of possible values for its mean and standard deviation,____ so ano ginawa

A

it is impossible to tabulate the area associated with each and every normal curve.

instead of having a table for all distribution we convert all normal distributions into a standard normal distribution wherein we use mean=0 and std= 1 by having a z- score table

19
Q

why z score

A

because it organizes and it makes it easy for us to have a standard values when comparing data, instead of having diff tables for each distribution