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stat chapter 6 quizlet
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Terms in this set (16)
discrete variable
Consists of separate, indivisible categories. No values can exist between two neighboring categories.
continuous variable
takes all values in some interval of numbers
mean and variance of random variable
linear transformation
a transformation involving addition, subtraction, multiplication, or division of or by a constant
center, shape and spread of a probability distribution
shape: same as probability distribution of X if b>0
center: uy = a +bux
spread: oy = box
binomial coefficient
Factorial
n! = n(n-1) (n-2)......(3)(2)(1)
Bionomial Probability
geometric probability
Large Counts Condition
using normal approximation when np>=10 and n(1-p)>=10
10% condition
When sampling without replacement, trials are not independent. It's still okay to proceed as long as the sample is smaller than 10% of the population.
Mean and Standard Deviation of a Binomial Random Variable
The mean of the sum of two random variables is the sum of their means
ux+y = ux+uy
the mean of the difference of two random variables is the difference of their means
ux-y = ux - uy
The Variance of the Sum of Two Independent Random Variables is the sum of their variances
o^2x+y = o^2x + o^2y
The variance of the difference of two independent random variables is the sum of their variances
o^2x-y = o^2x + o^2y
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