probability distribution Flashcards
it is a function whose values ae real numbers determined by elements of the sample size
random variables
difference between S, sample space and X
S = no. of patients in a hospital
X = no. of patients admitted during that day
what are the 2 quantitative variables in random variables
discrete (integers)
continuous (fractional)
it applies the theory of the probability to describe the behavior of the random variable
probability distribution
- for “many” events
it aids the determination of the average of a set of data by knowing the distinct values that occur and their relative frequencies, without knowledge of the total no. of observations inn our set of data
mathematical distribution (for discrete)
aka expected value or mean probability distribution
formula of probability distribution
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it is a discrete probability distribution that maps the behavior of a binomial random variable
binomial distribution
only 2 results
0 = absent, dead
1 = success, alive
probability density function - cos we want to know the density under the curve
formula of binomial distribution
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the most important and common continuous probability
normal distribution or gaussian curve (continuous probability distribution))
how is normal distribution is being represented
by histogram (distribution)
all the area under the curve is 1
if skewed to the left
mean > median (mean is more than median)
if skewed to the right
mean < median
mean is less than median
what are the properties of the normal distribution
bell-shaped distribution, symmetrical about the mean
mean = median = mode
total area under the curve is 1
has long tapering nails which extend indefinitely in either direction corresponding to infinite range of x values in the distribution
standard normal distribution formula
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